Ja, wieso sollte es denn so wichtig sein, die Steigung von gekrümmten Funktionsgraphen in den Griff zu bekommen?[br][br]Um das zu verstehen, gucken wir noch mal bei den schon bekannten Geradensteigungen nach. Da gibt es viele Sachsituationen, z. B. aus der Physik, in denen die Steigung eine Rolle spielt.[br][br]Bsp:[br]Die Steigung in einem Weg-Zeit-Diagramm ist die Geschwindigkeit. Wenn ein solches Diagramm eine Gerade ist, haben wir also kein Problem:[br][br] [img width=343,height=204]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAuwAAAHACAIAAAB2xKp7AAAgAElEQVR4nO29f3RU9b3v/XnurLmzcvPk5EkfLitNoyfHVZaLFXm4rFBkpZRy8QemmIuW2vpQzM2hnBwppR5MKTZFCIhKiQoIGINAMIlREaRAc2yKQg5GQApykcYIGMPlyYkQaJTGdDok4zx/fDmbzcxksufznT37u+f7fq3P6jKTnczOu/uz94vv/n73UMhmTpw40dLScuLECbvfCACDzs7OlpaWzs5Op3fEfSA6GZAeG0THxu7o+q/21Z2sKmrILaghK3XHyyNqTzzdf7XPpv0Jg+x+A0gMmy+//NL4XxAXOCGyQXQyID02iI6NfdEFBv072qqLG/Ms6ktRQ27tiacDg/6E70kMIDGKcvHixfz8/ClTpuTn5/f09Di9Oy4DJ0Q2iE4GpMcG0bGxI7rB4MCOtmrroy/FjXmbjz+RZH0RQGJURBgMEfl8PiKCx8QLTohsEJ0MSI8NomOT2OjE6Mt9r37Tor7c9+o3d7RVDwYHEvLuDCAxymEYzD/8wz/Mnz8/Ly8PHhMvOCGyQXQyID02iI5NoqKLd/TFcX0RQGLUwjCY2267bdGiRUS0aNEi8Qo8xjo4IbJBdDIgPTaIjo18dIzRlz2nax3XFwEkRiHMBtPT07Ns2TIiqqys7OnpgcfEBU6IbBCdDEiPDaJjIxPdYHDg7Y43XKovAkiMKnz55ZdmgwmFQobEhEIhs8f09/c7vbOqgxMiG0QnA9Jjg+jY8KJz9eiLGUiMQlRWVhoGE7pRYkL/4THGlyAGOCGyQXQyID02iI5NvNENBgf2nK61vnBaWX0RQGLUwjzKEiYxYd8FMcAJkQ2ikwHpsUF0bKxHlzKjL2YgMeoSKTHAIjghskF0MiA9NoiOjZXoUmz0xQwkRl0gMWxwQmSD6GRAemwQHZtho0u90RczkBh1gcSwwQmRDaKTAemxQXRshopuMDjQdKb+oTfHp6q+CCAx6gKJYYMTIhtEJwPSY4Po2ERGJ24epfDoixlIjLpAYtjghMgG0cmA9NggOjbm6LTSFwEkRl0gMWxwQmSD6GRAemwQHRsRXcenn+imLwJIjLpAYtjghMgG0cmA9NggOjYdn35Steex6XV/r5u+CCAx6jKsxIjPhmxra4v8Vk9PDxERkcfjuXLlSuQGp0+fJqK8vLxE7rEy4ITIBtHJgPTYIDoG4uaRtvoigMSoy7ASM3v2bCLavHlz5Lc2b95M/0FDQ0PkBnV1dUQ0e/bsRO6xMuCEyAbRyYD02CC6uNBw7stQQGLUZViJ2bZtGxHNmjUr8lvFxcVENGPGDCJ64IEHIjcQArRt27ZE7rEy4ITIBtHJgPTYIDqLQF/CgMSoy7AS097eTkQ333xz2OsDAwNer9fr9V6+fNnr9fp8voGB8CNY3Ipqb29P/H4rAE6IbBCdDEiPDaIbFuhLVCAx6mJlYm9mZiYRdXd3m1/cvn07EU2fPj0UCk2fPp2Idu3aZd7gwoULRJSRkWF+8dy5c2VlZdnZ2V6vNzMzs6SkJOpsm7a2tpKSkoyMDJ/PN3bs2KamplAoJO5bsf/ShIMTIhtEJwPSY4PoYhCvvhQ35tWdrAoM+p3e8WQAiVEXKxIzc+ZMItq+fbv5xVmzZhFRdXV1KBSqqakhojlz5pg3EJZjvs3U2toqfMhMWlpac3Oz+Qf37duXlpYWtpn4bZCY1ADRyYD02CC6qGD0ZVggMepiRWLWrFlDRGVlZcYrwWAwIyPDGJ4Rgy4jRoww/9S8efOIaM2aNeLL3t7ekSNHElFFRUVXV1cwGDx27Nj8+fPFaI0xzNPX1yc2e/DBB8+dOxcKhU6fPl1cXCzeDhKTGiA6GZAeG0QXRrz6cse2//rKh2u00hcBJEZdrEhMa2srEY0dO9Z4Zf/+/URUWFhovDJ58mQiamlpMV4ZO3YsER05ckR8uXLlyqhvtHjxYiJasmSJ+FIIU1FRUdhmU6ZMgcSkDIhOBqTHBtEZxKsv0+v+/tk9vz7T8bHTO+4MkBh1sSIxwWDQ6/V6PB6//9rtTzGCsmrVKmObqqoqIlq4cKH4MhAIeDwen88XDAbFK8JCent7w3752bNniWjChAniy2nTphHRvn37wjbbt28fJCZlQHQyID02iC4Uv77cXZ/9+p/Wd3z6ic7RQWLUxeITe4Vb7N27V3yZk5MTtuxIPNfOWMS0e/duIpo2bZqxQeQ0l7CZMWIzcdvIUB+DQCAAiUkZEJ0MSI+N5tEx5r7Unaz6S+DzkPbRQWLUxaLEVFRUENHixYtDodDRo0eJaNSoUWHbjBkzhoiOHTtmbG/+tR6PJ4bEeL1e82ZR9wESkzIgOhmQHhtto2OMvoStPNI2OgEkRl0sSszevXuJ6M477wyFQkuXLiWiRYsWhW0jXl+6dGnoP24eGSM3of8YiYkcYglDbBYIBMJex0hMKoHoZEB6bDSMjrFwuubYsv6rfWG/R8PozEBi1MWixIg5Ll6vNxgMihm7hw4dCtvm2LFjYv6vMYfG/Pi7goICIgpbTR2JmCAcOSdGTCWGxKQGiE4GpMdGq+gCg/4dbdVxjb7EWHmkVXSRQGLUxfqnWI8bN46IxKcQjBw5Muo2ubm5xjYTJ040f2vJkiVhC5oEYvaMsRzp2WefJaIZM2aEbSY+4gASkxogOhmQHhtNohsMDrzd8YZ1fSlqyI06+mJGk+iGAhKjLtYlRjz3RUx8CXuuncEjjzxibPPII4+Yv9Xd3S2edDdt2rRTp06FQqGDBw8uWLDA5/N5PB7xSigU6uvrE7OGZ8+eLZ4T09HRMXv2bDwnJpVAdDIgPTYpHx1j9OX1P6238tyXlI8uNpAYdbEuMcYzc4lo9+7dUbcxbvoQ0c6dO8O+29zcnJ6eHjmrd+vWrebNWltbDWUxaGxsNM//VQHNu1oGRCcD0mOTwtH1X+2rO1lV1JBr9bF1L4+oPfF07NEXMykcnRUgMepiXWLEY3mJyPz0lzCCwaDxwQKRj4QJhUJnz56dO3duTk6OeIpMUVFR1FkyZ8+eLS0tzcrK8nq9Y8aM2b17dzAYJNNKbBXQvKtlQHQyID02KRmdGH0pbsyzfvOo9sTT8X7mUUpGZx1IjLpYlxhn6e7uJqK8vDynd+Q6mne1DIhOBqTHJsWiGwwO7Girtj76UtyYt/n4E7yPbEyx6OIFEqMuqkmMz+cjIjEbxoyYF/zggw86sldR0byrZUB0MiA9NikTXbxzX+579Zs72qplPvMoZaLjAYlRF9UkZurUqUQ0bty4/fv3i5tW58+fFwYTdV23g2je1TIgOhmQHpsUiC7e0Rd5fRGkQHQyQGLURTWJOXXqVFZWVuTkXyJat26d03t3A5p3tQyITgakx8bV0TFGX/acrk3UJ067Ojp5IDHqoprEhEKh7u7uRYsWjRkzJi0tzefz5ebmlpSUnDx50un9CkfzrpYB0cmA9Ni4NLp4n/uSWH0RuDS6RAGJURcFJcYtaN7VMiA6GZAeG9dF5+zoixnXRZdYIDHqAolho3lXy4DoZEB6bFwUnfjMI+sLp+3TF4GLorMDSIy6QGLYaN7VMiA6GZAeG1dEp87oixlXRGcfkBh1gcSw0byrZUB0MiA9NopHp9roixnFo7MbSIy6QGLYaN7VMiA6GZAeG5WjU3D0xYzK0SUBSIy6QGLYaN7VMiA6GZAeGwWjGwwONJ2pf+jN8crqi0DB6JIJJEZdIDFsNO9qGRCdDEiPjVLRiZtHKo++mFEquuQDiVEXSAwbzbtaBkQnA9Jjo0h07tIXgSLROQUkRl0gMWw072oZEJ0MSI+N49G5UV8EjkfnLJAYdYHEsNG8q2VAdDIgPTYORudefRFoftRBYtQFEsNG866WAdHJgPTYOBKd2/VFoPlRB4lRF0gMG827WgZEJwPSY5Pk6FJDXwSaH3WQGHWBxLDRvKtlQHQyID02SYsulfRFoPlRB4lRF0gMG827WgZEJwPSY5OE6FJPXwSaH3WQGHWBxLDRvKtlQHQyID02tkYXr74UN+bVnawKDPrt2JmEo/lRB4lRF0gMG827WgZEJwPSY2NTdKk6+mJG86MOEqMukBg2mne1DIhOBqTHJuHRxasvd9dnv/LhGnfpi0Dzow4Soy6QGDaad7UMiE4GpMcmgdExRl+aztS75eZRJJofdZAYdYHEsNG8q2VAdDIgPTYJiY4x+vL6n9a7cfTFjOZHHSRGXSAxbDTvahkQnQxIj41kdIzRl7qTVX8JfJ7QP8IZND/qIDHqAolho3lXy4DoZEB6bNjRMUZfXLTyyAqaH3WQGHWBxLDRvKtlQHQyID02jOgYC6drji3rv9pn2x/hDJofdZAYdYHEsNG8q2VAdDIgPTZxRRcY9O9oq9Zh5ZEVND/qIDHqAolho3lXy4DoZEB6bCxGNxgceLvjDev6UtSQm5KjL2Y0P+ogMeoCiWGjeVfLgOhkQHpsho2OMfqSAiuPrKD5UQeJURdIDBvNu1oGRCcD0mMTI7r+q311J6uKGnIt6ssdL4+oPfF0ao++mNH8qIPExEFXV9fMmTPT0tLS0tKmTp167NgxW98OEsNG866WAdHJgPTYRI1OjL4UN+ZZv3lUe+LpVFp5ZAXNjzpIjFV6enqys7PJhNfrPXTokH3vCIlho3lXy4DoZEB6bMKiGwwO7Girtj76UtyYt/n4E7rpi0Dzow4SY5Xy8nIimj59+uXLlwOBwJw5c4hoypQp9r0jJIaN5l0tA6KTAemxMaKLd+7Lfa9+c0dbtQ5zX4ZC86MOEmOVnJwcIurq6hJf+v1+IvL5fPa9IySGjeZdLQOikwHpsens7Nx/4J2agyutj75AXwSaH3WQGCZ9fX1ElJ2dbbwi7jEFg8Hy8vL09PTMzMyVK1eGQqHe3t7Zs2f7fL709PQFCxb4/VYHPCExbDTvahkQnQxIj0dg0F9zcOW0rd+wri97TtdCXwSaH3WQGA5XrlwpKSkholWrVhkvComZP3++ed5MY2PjpEmTzK+Ul5dbfBdIDBvNu1oGRCcD0ouXeJ/7An2JRPOjjk7YzLvvvtvS0vLuu+/a/UYJ5IsvvogR2WuvvebxeCJ1RDjKrbfe2tbWFgwGKyoqiCgjI6OgoKCjo8N4xTx4E8aBAweWmXjooYfWrl3729/+1uk83Mfhw4dbWloOHz7s9I64D0QnA9Kzzh8/eH9t86+Ltt10bWbuMlr+PZpeOfTKo203bdi3/PgHx5zeceXQ/KijFhDBiZjjRtXV1YWFhWlpaR6Px+wxQmKam5vFl2LSDBEdPXpUvBIIBIjI4/EM9ZvF0IvB2rVrnU4CAAASzP4D71TteeyurdnCTqaupkdnUc14qimg5d+Loi/Ttn6jas9j+w+84/SOAxXBSEwUYo/EGI5SXFxMRE899ZRZYgKBQJjWBIPBsFeG+p0tLS2VJkpKSjASw0Pzf5rIgOhkQHqxCRt9Efry4niqKbhWP/+fGH2JG82POsyJ4dPV1UVEOTk54stIQbHySgwwJ4aN5jeJZUB0MiC9oRCfOG08ti5MX341k37+ENUUUFkZ5r7EjeZHHSRGCvMqa0iMOmje1TIgOhmQXlTMz30J05eK79PdT1FBDZWVXZMY6Eu8aH7UQWKsMmLECCI6d+6c8Up7ezsRjRo1SnwJiVEHzbtaBkQnA9IzMxgcaDpT/9Cb4yP15cXx9NgP6M5V1+8cCYnZvOQu6Eu8aH7UQWKsItZOP/DAA1euXAmFQt3d3UVFRUS0YsUKsQEkRh0072oZEJ0MSE8gbh5FHX15cTw9Ooumrr5h7suMhrxNiyfXFNDbv3nE6X13H5ofdZAYq/T09OTl5dGNTJ48eWDg2r8bIDHqoHlXy4DoZEB6DH3ZcXzNXy6eb14+FxLDQ/OjDhITBz09PfPmzcvKyvJ4PKNGjVqxYkXkWiTz9pAYp9C8q2VAdDLonB5bX/ovdfdf6obEsNH5qAtBYlQGEsNG866WAdHJoGd6kvoCiZFEz6POABKjLpAYNpp3tQyITgbd0kuIvkBiJNHtqAsDEqMukBg2mne1DIhOBn3SS6C+QGIk0eeoiwokRl0gMWw072oZEJ0MOqSXcH2BxEiiw1EXA0iMukBi2Gje1TIgOhlSOz2b9AUSI0lqH3XDAolRF0gMG827WgZEJ0Oqphevvtxbf9OWQ49/frHTir5AYiRJ1aPOIpAYdYHEsNG8q2VAdDKkXnq2jr5AYhJC6h11cQGJURdIDBvNu1oGRCdDKqUXr77c9fLI2sPLGfoCiZEklY46BpAYdYHEsNG8q2VAdDKkRnqM0Zddx9fHdfMIEpNAUuOoYwOJURdIDBvNu1oGRCeD29NjjL7UH3mSPfoCiUkIbj/qJIHEqAskho3mXS0DopPBvekxRl+2HHr8YvfH8voCiZHEvUddQoDEqAskho3mXS0DopPBjekxRl/iXXkEibEVNx51CQQSoy6QGDaad7UMiE4Gd6UXpi9TnqHHfnBNX2oKoi+c3nCw/NJnZxOrL5AYSdx11CUcSIy6QGLYaN7VMiA6GdySXmDQv6Ot2tCXSWvpp3Now8Rr+vKrmXTPykSuPILE2IpbjjqbgMSoCySGjeZdLQOik0H99AaDA293vGG+efQvs6/ry2M/oLufukFf7qn7un2jL5CYhKD+UWcrkBh1gcSw0byrZUB0MqicXtjoi3nuixh9uXOVXSuPIDG2ovJRlwQgMeoCiWGjeVfLgOhkUDO9/qt9dSerihpyhZ0UPk//Mvu6vjz2g/CbR1Nrv7aptSIJoy+QmISg5lGXNCAx6gKJYaN5V8uA6GRQLT0x+lLcmGee+/J84TV9WXJf+OjLPXVf39RakfCVR5AYW1HtqEsykBh1gcSw0byrZUB0MqiT3mBwYEdbtTH6EjZ1N3Luy731N1W/+0tH9AUSI4k6R50jQGLUBRLDRvOulgHRyaBCepFzX8xTdyNXHs1oyGt8f1XS5r5AYhKOCkedg0Bi1AUSw0bzrpYB0cngbHqRoy/mqbuRoy+K6AskRhLNexYSoy6QGDaad7UMiE4Gp9ILG3359joqK7s+9yVy5dGMhrwdx9cooi+QGEk071lIjLpAYtho3tUyIDoZkp9e2HNfIue+RN48Uk1fIDGSaN6zkBh1gcSw0byrZUB0MiQzvbDRl8Ln6eG51/Wl4vuu0RdIjCSa9ywkRl0gMWw072oZEJ0MyUlPfOaRsXC68PkbFk67Tl8gMZJo3rOQGHWBxLDRvKtlQHQy2J1e2OjLxA009+EbnvviRn2BxEiiec9CYtQFEsNG866WAdHJYF96kaMv5ptHlffSvZVu1RdIjCSa9ywkRl0gMWw072oZEJ0MNqUXNvfFvPIoBfQFEiOJ5j0LiVEXSAwbzbtaBkQnQ2LTGwwONJ2pf+jN8amtL5AYSTTvWUiMukBi2Gje1TIgOhkSlZ64eZTyoy+QmISgec9CYtQFEsNG866WAdHJIJ+ehvoCiZFE856FxKgLJIaN5l0tA6KTQSY9bfUFEiOJ5j0LiVEXSAwbzbtaBkQnAy89zfUFEiOJ5j0LiVEXSAwbzbtaBkQnQ7zpQV8gMfJo3rOQGHWBxLDRvKtlQHQyWE8P+gKJSRSa9ywkRl0gMWw072oZEJ0MVtKDvkBiEovmPQuJURdIDBvNu1oGRCdD7PSgL5AYO9C8ZyEx6gKJYaN5V8uA6GQYKr149eXe+pu2HHr884udjrsFJEZ9NO9ZSIy6QGLYaN7VMiA6GSLTw+gLJMZuNO9ZSIy6QGLYaN7VMiA6Gczpxasvd708svbwcg31BRIjieY9C4lRF0gMG827WgZEJ4NIr+PTT+Idfdl1fL1WN48gMQlE856FxKgLJIaN5l0tA6KToePTT6r2PDa97u+tj77UH3lS29EXSExC0LxnITHqAolho3lXy4DoeIibR9b1ZUZD3pZDj1/s/thxe1CkIDFsNO9ZSIy6QGLYaN7VMiC6eGHMfdFt5REkxlY071lIjLpAYtho3tUyIDrrhOnLt9fR3IeHWTi94WD5pc/OOm4MChYkho3mPQuJURdIDBvNu1oGRGeFwKB/R1u1oS8TXqCH59KGidf0ZeU9NPNXWHkEiUkSmvcsJEZdIDFsNO9qGRBdbAaDA293vGHWl5Kf03OTr+vL9yto/IvX9eWeuq9j9AUSYyua9ywkRl0gMWw072oZEN1QRI6+xNYXrDyCxCQHzXsWEqMukBg2mne1DIgukv6rfXUnq4oacqPqy4rv0cxf3aAvU7b8X5taKzD6AolJDpr3LCRGXSAxbDTvahkQnRkx+lLcmGdeebTu20OPvtSOXNI4+9Txdx13AtcVJIaN5j0LiVEXSAwbzbtaBkQnGAwO7GirNkZfwhZOR07dvbf+pup3f3nq+Ltv79n58QfvO+4EritIDBvNexYSoy6QGDaad7UMiC5s7sv4F+kn827Ql7DRlxkNeY3vrxJzXz7+4H1IDCQmyWjes5AYdYHEsNG8q2XQObqw0ZfxL9KDv6DVUy3piyhIDCQm+ejcsyFIjMpAYtho3tUy6Bld1JVHz0wZcurujIa8HcfXRK48gsRAYpKPnj1rAIlRF0gMG827Wgbdoov3uS9D6QskBhLjFLr1bBiQGHWBxLDRvKtl0Ce6yLkvs//lur5E/cjGGPoCiYHEOIU+PRsVSIy6QGLYaN7VMugQnfjMI2Ph9IQXaO7D1xdO8/QFEgOJcQodejYGkBh1gcSw0byrZUjt6MJGXyZuuOHmkYy+QGIgMU6R2j07LJAYdYHEsNG8q2VI1ejCRl/Ec1+Mj2yU1xdIDCTGKVK1Zy0CiVEXSAwbzbtahpSMzjz6EvbYukTpCyQGEuMUKdmz1oHEqAskho3mXS1DKkU3GBxoOlP/0Jvjk6AvkBhIjFOkUs8ygMSoCySGjeZdLUNqRCduHiVn9AUSA4lxltToWTaQGHWBxLDRvKtlcHt0TukLJAYS4xRu71lJIDHqAolho3lXy+De6JzVF0gMJMYp3NuzCQESoy6QGDaad7UMboxOBX3ph8RAYhzCjT2bQCAx6gKJYaN5V8vgrujU0RdRkBh2QWLYuKtnEw4kRl0gMWw072oZ3BJdmL6Mf5F+Ms9JfREFiWEXJIaNW3rWJiAx6gKJYaN5V8ugfnSR+jLrUVo91WF9EQWJYRckho36PWsrkBh1gcSw0byrZVA5utj6suJ7TuqLKEgMuyAxbFTu2SQAiVEXSAwbzbtaBjWji60vq6fSrEdp/IvX9eXe+pu2HHr884udSb4SQ2LYBYlho2bPJg1IjLpAYtho3tUyqBZdvPqS/NEXc0Fi2AWJYaNazyYZSIy6QGLYaN7VMqgTXbz6ctfLI2sPL3dKX0RBYtgFiWGjTs86AiRGXSAxbDTvahlUiI4x+rLr+Prk3zyKLEgMuyAxbFToWQeBxKgLJIaN5l0tg7PRMUZf6o886ezoi7kgMeyCxLDR/HQHiVEXSAwbzbtaBqeiY4y+bDn0+MXujx2/+poLEsMuSAwbzU93kBh1gcSw0byrZUh+dIzRF0dWHlkpSAy7IDFsND/dQWLUBRLDRvOuliGZ0TEWTm84WH7ps7OOX3GHKkgMuyAxbDQ/3UFi1AUSw0bzrpYhOdEFBv072qqH0pff3EEP/kK5lUdWChLDLkgMG81Pd5AYdYHEsNG8q2WwO7rB4MDbHW8Y+jLhBSr5OT0z5bq+hI2+3FP3dcVHX8wFiWEXJIaN5qc7SIy6QGLYaN7VMtgXXdjoi9CX5ybfMPoy4QV1Vx5ZKUgMu5IvMa/+j1tqCqj+7uyvgsGkvakdaH66g8SoCySGjeZdLYMd0fVf7as7WVXUkGsIyo8XXteX1VPD9WVq7dc2tVa4ZfTFXJAYdiVZYv79j/vF4VdTQJ0HdiXnTW1C89MdJEZdIDFsNO9qGRIbnRh9KW7MMwTl+xW08p4hp+7eU/f1Ta0Vaq48slKQGHYlWWL+sGhmTQHt+afJNQX0rwuKkvOmNqH56Q4Soy6QGDaad7UMiYpuMDiwo63aPPpi1pff3EE/XkiFz9+w8qj63V+6V19EQWLYlUyJ8ff2bPqW56XbvV9e7NoyKX3Ttzx9F84n4X1tQvPTHSRGXSAxbDTvahnkowub+xKpL2E3j2Y05DW+v8pdc1+GKkgMu5IpMR9sWVlTQAefLAuFQu+tXlBTQMdfWhF1yyvnz7779LzG4ryXbvduKUzbOWvc8ZdWBL68koSdtI7mpztIjLpAYtho3tUyyEQXNvoiFk6vunPIuS+ppC+iIDHsSqbEiCm9l0+fCIVCn3e21xRQY3Fe5GaXPjq29TsZxtQZoxqL8/y9PUnYT4tofrqDxKgLJIaN5l0tAy+6YZ/7EvmhATuOr0klfREFiWFX0iRGTOndVTLBeOW3/1hYU0Bd7+8L23L3TybVFNB7qxd8ebErFAp9FQx+9r9a3/jRmJoCav3NfLv30zqan+4gMeoCiWGjeVfLEG90Yc99GfaxdamqL6IgMexKmsQ0/+L+mgL6aGeN8crHu7fWFNA7v54VtuVLt3trCih4NWB+sa/7nFiYbfd+Wkfz0x0kRl0gMWw072oZrEcXOfflwV9c15en7qYfPKaRvoiCxLArORIjpvRuKUwbDPiNF4ODA7XfzXzpdq//i8vmjcVdp9/+Y+Gn7+z8658v2LpjMmh+uoPEqAskho3mXS2DlejEZx4NtXBaT30RBYlhV3IkRkzpjbwZ9N4zj9QU0IevrDG/eHrvtrCpMAcqS8/9227VHo6n+ekOEhMfK1asyM/P9/l8GRkZpaWl58/buDAPEsNG866WIXZ0kXNfzB8asHqqvvoiChLDruRITGNxnjGl10xvR1tNAb3xozFhr3/6zs5dJRMiJ/Ze6eqwdT/jQvPTHSQmDubMmUM3MnLkyHPnztn0dpAYNpp3tQxDRRc2+hL5idOz/4UmbtBXX0RBYtiVBInpen9f2JReM6YIrG4AACAASURBVGJ6b0/b0chv9V/q/qT5tQOVpWJWb00BvfXIdPv2M140P91BYqzS0tJCRMXFxR0dHaFQKBgMbty4kYhKSkpsekdIDBvNu1qGqNHFWHkU+dRdPfVFFCSGXUmQmMgpvWbE9F7x8JgYfPbBwZoC2lKYZsMOMtH8dAeJscqkSZOI6MqV6485CgaDRJSenm7TO0Ji2Gje1TKYoxsMDjSdqX/ozfHQF4sFiWGX3RLTf6k7ckqvmeDVwNbvZJg3EBN7r5w/a95swN9fU0BbJtl12meg+ekOEiMFEXm9XuO/iSgYDJaXl6enp2dmZq5cuTIUCvX29s6ePdvn86Wnpy9YsMDvj95CkUBi2Gje1TKI6Do+/WTP6VqMvsRbkBh22S0xQ03pNSOm9xpDNX98cWlNAW1/IL/7eIuYzPvF/z7d/OiMmgLa//hsm/aTgeanO0gMn66uLiKaMOHaHVYhMfPnzzdPmmlsbBRDOAbl5eUWfz8kho3mXS1Dx6efVO15bHrd30NfGAWJYZfdEiOm9FqpXaUTxY9c7e/b8f+Ojdyg/p6c/kvdNu0nA81Pd5AYPpWVlUS0efNm8aVwlFtvvbWtrS0YDFZUVBBRRkZGQUFBR0eH8Up2ttWnJEFi2Gje1TzE1F3oi0xBYthlq8SIKb3W6/POdvGDV/v7/vji0jd+NOal270v3e59/fu3vv/84rDHyTiO5qc76rSZw4cPt7S0HD582O43SiBW7vicOnUqLS1t2rRp16MkIqLm5mbxpd/vF68cPXptunsgECAij8cz1O88cODAMhMzZswoLS3dtm2b03m4D0Odnd4Rd9Dx6Sdb36uyri/f25a76Q+Pf3T80McfvI8y19GWfW/v2Xm0ZZ/je+K62lPxUE0B/W75PzvdDe5D89MdtYAIOodT2u7u7tzc3NGjR/f29oZJTCAQCHslaHoyknhlqF8rhl4MSktLnU4CpDj7D7xTteexaVu/YVFfpm3OXvX6z/6we/vbe3aiUAmsN8p/WFNAOytKne4J4DIwEhOF2CMx3d3do0aNysvL6+6+4bZopKBYecVMS0tLpYn77rsPIzE8NP+niRUw+mJHYSSGXRiJYaP56Q5zYuLjyJEjeXl5+fn5YQYTSoTEhIE5MWw69b5JHBsx9wUrj+yojzEnhltJ+wDI1EPz0x0kJg527drl8/kKCwvNd5EMIDHqoHlXDwX0xe6CxLALEsNG89MdJMYqJ0+e9Hq9+fn5fX19UTeAxKiD5l0dSbz6cs+2r2859PjnFzsdv7a5qyAx7ILEsNH8dAeJscqMGTNoCMQGkBh10LyrzcSrL9/blrvq9Z99dPyQ41c1NxYkhl2QGDaan+4gMVbx+XyQGLegeVcL4tWXu14eWXt4+UfHD+EyzC5IDLsgMWw0P91BYtQFEsNG865mzH3ZdXy9uHmEy7BMIT12QWLYaH66g8SoCySGjbZdzRh9qT/ypHnqLi7DMoX02AWJYaPt6U4AiVEXSAwbDbuaMfqy5dDjF7s/xmU4gYX02AWJYaPh6c4MJEZdIDFstOpqxuhLjJVHuAzLFNJjFySGjVanu0ggMeoCiWGjSVfHqy/31t+04WD5pc/O4jJsUyE9dkFi2GhyuhsKSIy6QGLYpHxXBwb9O9qqh9KX39xBD/4iysojK4+tw2VYppAeuyAxbFL+dBcbSIy6QGLYpHBXDwYH3u54I47H1tV9fdjRF1yGE1VIj12QGDYpfLqzAiRGXSAxbFKyq2OPvjw3mUp/RhM3xFp5hMuw3YX02AWJYZOSpzvrQGLUBRLDJsW6uv9qX93JqqKGXENQfvDYdX1ZO4lKfn6Dvkyt/dqm1grroy+4DCeqkB67IDFsUux0Fy+QGHWBxLBJma4Woy/FjXmGoHy/gpZPv64vpT+jCS/ccPNoU2uFzGce4TIsU0iPXZAYNilzuuMBiVEXSAybFOjqweDAjrZq8+jL9yto5T033Dz69robVh5Vv/tL+Y9sxGUY6TlSkBg2KXC6kwESoy6QGDau7uqwuS9R9cV882hGQ17j+6vinfuCy7AdhfTYBYlh4+rTnTyQGHWBxLBxaVfHHn2JnPuSWH3BZRjpOViQGDYuPd0lCkiMukBi2Liuq2OPvqz7Nv1k3g1zX2Y05O04viax+tKPyzDSc64gMWxcd7pLLJAYdYHEsHFRV4c99yVSX+Y+fMPcF/v0RRQuw0jPkYLEsHHR6c4OIDHqAolh44qujj36snYSzflp+M0jW/VFFC7DSM+RgsSwccXpzj4gMeoCiWGjeFeLzzwKWzht6It46m5ybh5FFi7DSM+RgsSwUfx0ZzeQGHWBxLBRtqsjR1/uraTKe6+PvoR9aEAy9UUULsNIz5GCxLBR9nSXHCAx6gKJYaNgV0eOvoTpy0/mUeHzTuqLKFyGkZ4jBYlho+DpLplAYtQFEsNGta6OPfriyNyXoQqXYaTnSEFi2Kh2uksykBh1gcSwUaSrB4MDTWfqH3pzfFR9WT2VfrxQIX0Rhcsw0nOkIDFsFDndOQUkRl0gMWwc72px82io0RcxddfZuS9DFS7DSM+RgsSwcfx05yyQGHWBxLBxsKvdqy+icBlGeo4UJIYNJMZeIDFsIDFsHOlqt+uLKFyGkZ4jBYlhA4mxF0gMG0gMmyR3dWroiyhchpGeIwWJYQOJsRdIDBtIDJukdXUq6YsoXIaRniMFiWEDibEXSAwbSAybJHR16umLKFyGkZ4jBYlhA4mxF0gMG0gMG1u7OlX1RRQuw0jPkYLEsIHE2Askhg0kho1NXR1bX56Z4m59EYXLMNJzpCAxbCAx9gKJYQOJYZPwro6tL88XUlnZDY+tu7f+pi2HHv/8Yqfj14Z4C5dhpOdIQWLYQGLsBRLDBhLDJoFdbUVfVPjMo0QVLsNIz5GCxLCBxNgLJIYNJIZNQro6Xn256+WRtYeXu1dfROEyjPQcKUgMG0iMvUBi2EBi2Eh2NWP0Zdfx9W68eRRZuAwjPUcKEsMGEmMvkBg2kBg27K5mjL7UH3nS7aMv5sJlGOk5UpAYNpAYe4HEsIHEsGF0NWP0Zcuhxy92f+z42T+xhcsw0nOkIDFsIDH2AolhA4lhE1dXM0ZfXLryyErhMoz0HClIDBtIjL1AYthAYthY7Op49eXe+ps2HCy/9NlZx8/49hUuw0jPkYLEsIHE2Askhg0khs2wXR0Y9O9oq46hL3MfTsGVR1YKl2Gk50hBYthAYuwFEsMGEsMmRlcPBgfe7nhjKH3ZMJHm/eQGfbmn7uspP/piLlyGkZ4jBYlhA4mxF0gMG0gMm6hdHXv0ZcNE+nkJTX4ulVceWSlchpGeIwWJYQOJsRdIDBtIDJuwru6/2ld3sqqoIXcofQm7eTS19mubWiv0GX0xFy7DSM+RgsSwgcTYCySGDSSGjdHVYvSluDEvqr68MIF+OoemPHPDzaNNrRWpuvLISuEyjPQcKUgMG0iMvUBi2EBi2HR2du4/8E7NwZVDjb6s+zbNfZgmrb1h5VH1u7/UWV9E4TKM9BwpSAwbSIy9QGLYQGJ4BAb9NQdXTtv6jRijL2GPrWt8f5Vuc1+GKlyGkZ4jBYlhA4mxF0gMG0hMvAwGB3a0VceY+/KzUvr2OuhLrMJlGOk5UpAYNpAYe4HEsIHEWGfYlUeRHxqw4/ga6Etk4TKM9BwpSAwbSIy9QGLYQGKsMOxzX8IWTkNfYhcuw0jPkYLEsIHE2Askhg0kJjbDPnUXoy+MwmUY6TlSkBg2kBh7gcSwgcQMhfjMo9gLp6EvvMJlGOk5UpAYNpAYe4HEsIHERDLs6MtP5+DmkVThMoz0HClIDBtIjL1AYthAYszEHn2JvHk0bXP2pj88Dn2Jt3AZRnqOFCSGDSTGXiAxbCAxBjFGX16YQA/PDb95tOkPj/9h93ZcSxiFyzDSc6QgMWwgMfYCiWEDiRkMDjSdqX/ozfHxrjzCtYRdiA7pOVKQGDaQGHuBxLDRWWLEzSP2yiNcS9iF6JCeIwWJYQOJsRdIDBs9JUZSX3AtkSxEh/QcKUgMG0iMvUBi2OgmMQnRF1xLJAvRIT1HChLDBhJjL5AYNvpITAL1BdcSyUJ0SM+RgsSwgcTYCySGjQ4Sk3B9wbVEshAd0nOkIDFsIDH2Aolhk9oSY5O+4FoiWYgO6TlSkBg2kBh7gcSwSVWJsVVfcC2RLESH9BwpSAwbSIy9QGLYpJ7EJEFfcC2RLESH9BwpSAwbSIy9QGLYpJLExKsv99bftOXQ459f7MS1JMmF6JCeIwWJYQOJsRdIDJvUkJikjb7gWpKQQnRIz5GCxLCBxNgLJIaN2yUmXn256+WRtYeXJ+QjG3EtQXRIz10FiWEDibEXSAwb90oMY/Rl1/H17JtHuJYksBAd0nOkIDFsIDH2Aolh40aJYYy+1B95MiGjL7iWIDrHC+mxCxLDBhJjL5AYNu6SGMboy5ZDj1/s/tiOEyKuJYgO6bmrIDFsIDH2Aolh4xaJYYy+yKw8slK4liA6pOeugsSwgcTYCySGjfoSw1g4veFg+aXPztp9QsS1BNEhPXcVJIYNJMZeIDFsVJaYwKB/R1t1DH2Z+7BdK4+sFK4liA7puasgMWwgMfYCiWGjpsQMBgfe7nhjKH3ZMJHm/eQGfbmn7uvJGX0xF64liA7puasgMWwgMfYCiWGjmsTEHn3ZMJF+XkKTn7N95ZGVwrUE0SE9dxUkhg0kxl4gMWzUkZj+q311J6uKGnINQfneiuv68sIE+lnpDaMvU2u/tqm1IsmjL+bCtQTRIT13FSSGDSTGXiAxbFSQGDH6UtyYZwjK3U/RYz+gF8df05efzqEpz9xw82hTa4WtK4+sFK4liA7puasgMWwgMfYCiWHjrMQMBgd2tFWbR1/M+hJ58+je+puq3/2l4/oiCtcSRIf03FWQGDaQGHuBxLBxSmIi575Ejr5MWnvDY+sa31/lyNyXoQrXEkSH9NxVkBg2kBh7gcSwSb7ExB59eWECPTrrhtEXBfVFFK4liA7puasgMWwgMfYCiWGTTIlhjL7sOL5GQX0RhWsJokN67ipIDBtIjL1AYtgkR2Iin/ti1pcXx9Ojs2jqatfoiyhcSxAd0nNXQWLYQGLsBRLDxm6JiT36smEi/XRO+M0j9fVFFK4liA7puasgMWwgMfYCiWFjn8SIzzwyL5y+4zfhoy/mhdMu0hdRuJYgOqTnroLEsIHE2Askho0dEhM5+jJ1NS38MT1feE1fwhZOu05fROFaguiQnrsKEsMGEmMvkBg2iZWYyNGXqavp0VnXR19+8SDd/ZTr9UUUriWIDum5qyAxbCAx9gKJYZNAiQkbfZnyzHV9eWECLfyx+6buxi5cSxAd0nNXQWLYQGLsBRLDRl5iBoMDTWfqH3pzvCEok9bST+fQhonXPvboVzNT4eZRZOFaguiQnrsKEsMGEmMvkBg2MhIjbh6ZR1/uXEW//OF1ffnlD1Nt9MVcuJYgOqTnroLEsIHE2Askhg1PYiL1JWzuy8If0z0rU1ZfROFaguiQnrsKEsMGEmMvkBg28UpMpL6Y577UFNBjP0jl0Rdz4VqC6JCeuwoSwwYSYy+QGDbWJSZSX8xzX8ToS8qsPLJSuJYgOqTnroLEsIHE2Askho0ViYnUF/HYuhcmXJ+6q8noi7lwLUF0SM9dBYlhA4mxF0gMm9gSM+zcl0dn0Z2rtNMXUbiWIDqk566CxLCBxNhLSkrM0qVLiWyPbiiJidSXyc/dMPel4vt0x2801RdRuJYgOqTnroLEsIHE2EvqSUxra6vH43FEYqLqi3nui9s/8yhRhWsJokN67ipIDBtIjL2kmMTs378/MzOTiJIsMVFvHpk/srHi+zfcPLq3/qYthx7//GKn4+cmRwrXEkSH9NxVkBg2kBh7SSWJqaio8Hg8kydPTqbELKtcOuzcF4y+hBWuJYgO6bmrIDFsIDH2kkoSQ0RlZWWBQCCqxIgXg8FgeXl5enp6ZmbmypUrQ6FQb2/v7NmzfT5fenr6ggUL/H6/xbdbuuzx/7uQJm/8mnnh9MIfX9eXX828YeH0XS+PrD28XHN9EYVrCaJDeu4qBSVmwO8/sm7dvsWLezs6nN6XWEBi7CWVJObQoUPiP2JIzPz588lEY2PjpEmTzK+Ul5cP+0bi5pFZX6auvuEzjx6dFb5wetfx9drePIosXEsQHdJzVykoMb9fuLCSqJLoudzcAcv/+Ew+kBh7SSWJMYghMbfeemtbW1swGKyoqCCijIyMgoKCjo4O45Xs7OwYv3nYuS+//OENHxpw18sj6488idGXsMK1BNEhPXeVahJzqb19uccjJKaSqEXig3jtRneJ6bSZw4cPt7S0HD582O43SiDD3vGJITHNzc3iS7/fL145evSoeEXch/J4PFF/52BwYPXuxebRl+mV9OTdVPMfC6efvpt+/j+prOxaPfrTv1u/6Pa9y0qal89FhdWeiofeKP/hnoqHHN8T1xWiQ3qOVOOP/p+aAtq9eJbTp/9rvDRlimEwlUQr/vN/blP1KmaMFDi9I85ALSCCzuGUNobEBAKBsFeCwWDsH4wcfRG1fPo1fUGhUCgdqv5H/83p039LS0vLzlWrzAYjqvrOO53eLxAFjMREQWYkJq5XhtIXYyRm+fQbRl8Wzv+7dY/d/vtVP337N4+gYtTvlv/zzorS3y3/Z8f3xHWF6JCeI/XbxbPqf/TfDm7f6vTpv/PTjo413/xmpMRUEh3bs8fpvYuC7iMxsa/W8ug2J8biK4FB/4626qH0JbLurs9+5cM1g8EBu/+01KBT75vEMiA6GZAeG3WiO7JuXSXRhtGjxX+Y68Vx45zeuyioE50jQGI4yEjM//Gf6O2ON6zry7df+LuaY8v6r/bZ/lelEJp3tQyITgakx0aR6Py9vauysiqJzr711lfB4Mb8/DCP+bChwdk9jESR6JwCEsOBJzGBQf9/nUy3PWHJXQpqqLD6/xz532lZ5dJk/EmpheZdLQOikwHpsVEkOrGsuqGoSHzZuX9/mMQ8m5Oj2nJrRaJzCkgMh3glpv9qX93JqqKGXIv6csfLI2pPPP3ryl/R0J9iDWKgeVfLgOhkQHpsVIhOLKte7vFcam83XmwsLg7zmEQtt77a33+pvf1vV658ZVr8wUCF6BwEEsPBusT8Jy/taKsubsyzqC9FDbm1J54ODPpDQ3+KNRgWzbtaBkQnA9Jjo0J0r0yfXkn0+4ULzS/++exZ8wNjKome8Pn+0tXFfpfzra2vzpixMi3N+IXLPZ7ayZM/3r2b9wtViM5BIDF2MRgc2NFWbX30pbgxb/PxJ4S+CCAxbDTvahkQnQxIj43j0Z19661KolVZWX+9fDnsW39YtChsMGbnrFm8d2maP7+S6Lnc3NZVq840NXXu3/9Jc/PRjRvX33prJVHrqlWM3+l4dM4CiUk88a48uu/Vb+5oq45ceQSJYaN5V8uA6GRAemycje6rYHDD6NGVREfWrYv87t+uXFk9YkSYx3QfOxbvu/zbihWVRGvz8vy9vebXr5w/L959hdfLuLWk+VEHiUkk8Y6+DKUvAkgMG827WgZEJwPSY+NsdMay6qE2+GN1teRy6/6enid8vkqiw2vWhH1r+wMPGL82OBD3czQ0P+ogMYmBMfqy53Rt7Oe+QGLYaN7VMiA6GZAeGwejM5ZVd+zbF2OzF8aMkVlufXTjRvFTH2zeHPatF8eNE9+qnTyZsf+aH3WQGFkGgwNxPffFir4IIDFsNO9qGRCdDEiPjYPRiWXVr0yfHnuzcy0tMsutd5WUiJ9alZV1dONG88yb7mPHXrv//qb58/t7ehj7r/lRB4nhY8foixlIDBvNu1oGRCcD0mPjVHTGsuo/nz077Mav3X8/e7l1c3l52M8+k539+syZ71VVXTl/XuZP0Pyog8RwEJ95ZH3hdLz6IoDEsNG8q2WQic7/RfiyDt3AgcfGqejEY2Cay8utbNzb0bHC6+Uttxa2FOYxxhLrfYsXs/8EzY86SEx82D36YgYSw0bzrpYhanSv/o9bagqo/u7sGEsnzjTVbfvvWbbvn9rgwGPjSHSfNDdXElWNHPm3K1cs/sg7FRXs5dYf7dz5ZHp6VI+pJHrrkUd4f4XmRx0kxirJGX0xA4lho3lXyxAZ3b//cX9NAYnqPLBrqB8UGyRjFxUGBx6b5EdnfDTS0Y0brf9UoK/vmexs9nLrvu7uw2vWvD5zZtXIkZEew7uvpPlRB4mxRNJGX8xAYtho3tUyREb3h0Uzawpozz9Nrimgf11QNNQPQmJCOPAkSH50Yln1C2PGxPuDH2zeHNdy679dudK2ffvpvXvDXv/r5csfNjQYS5MqiXgP7dX8qIPExGIwONB0pv6hN8cnWV8EkBg2mne1DGHR+Xt7Nn3L89Lt3i8vdm2ZlL7pW56+C9H/sQiJCeHAkyDJ0fl7e8Xz6zr372f8uNk8Yi+37u3oeDYnR2wTdeZNcGDgpQkTxAafNDczdkbzow4SEx1x8yj5oy9mIDFsNO9qGcKi+2DLypoCOvhkWSgUem/1gpoCOv7SirAfMW42mSvJu60IOPDYJDk68UkCT2dm7pk7l1FbJ02yuNzaWFldSdRYXBx1Z3bPmSMe18t40l1I+6MOEhOOCvoigMSw0byrZQiLTkzpvXz6RCgU+ryzvaaAGovzwn4EEmOAA49NMqO7fPr0UAuFZCrqcuu6O+80Njj07LORG3wVDIoPTmqaP5/352h+1EFirqOOvgggMWw072oZzNGJKb27SiYY3/3tPxbWFFDX+1EebKqzuxjgwGOTzOjEsuqEV9Tl1m/Oni1GWd6pqIi6M+L5MRvz862vkApD86MOEhMKqacvAkgMG827WgZzdM2/uL+mgD7aWWN89+PdW2sK6J1fR1lTCokJ4cCTIGnRdezbZ4fBVA6x3PrPZ89WjRy5wuttmj//9N69/T09g4HAgN//2YkTx2pqxGyYF8eN4z2rV6D5Uae7xKipLwJIDBvNu1oGIzoxpXdLYdpg4Pqd/uDgQO13M1+63Rv5XDtITAgHngRJiy7yqbsJrOUeT193d9g79nV3/37hwsg11cs9ni2FhUc3bmR8crUZzY86fSVGZX0RQGLYaN7VMhjRiSm9rb8Jv0//3jOP1BTQh6+EfxIvJCaEA08CHaL78sKFT5qbzzQ1nWlq+uzECUl3MdAhuhhYOulc6u9evO+B72zNuP0l73e2ZrT1HLX+BgpKjPr6IoDEsNG8q2UwomsszjOm9Jrp7WirKaA3fhT+dA1ITAgHngSIjo3m0Vk66fzTnsnmi3r/1T7rb6CUxLhFXwSQGDaad7UMIrrjexrCpvSaEdN7e9pu+McMJCaEA08CRMdG8+gsnXS+tclTUEPHu1tCoVDwq/hGwBSRmHj1pbgxr+5kVWDQ6ses2wEkho3mXS2DiG7XT6eFTek1I6b3iofHGEBiQjjwJEB0bDSPztJJR1zXeW/guMS4a/TFDCSGjeZdLUNnZ+fbe3ZGTuk1E7wa2PqdjLANIDEhHHgSIDo2mkc3zEkn6mU+rjdwUGLi1Ze767Nf+XCNCvoigMSw0byrZejs7Ny55CdRp/SaEdN7zUM1WwrTagro/Htv2b+P6oIDjw2iY6N5dKkpMYzRl6Yz9c7ePIoEEsNG866WobOzc+td2VEfwhtZu0onGj+4t2wKntiLA48NomOjeXSpdjuJMfry+p/WqzP6YgYSw0bzrpZBTOm1Xp93tosf/PJiV/OjM7YUpm36lqf+7mxn/wqnwIHHBtGx0Ty61JEYxuhL3cmqvwQ+t3vH2EBi2Gje1TIgOhlcnV6gr+/K+fMxHl5y+fTpyCe5JQpXR+csmkeXChLDGH1xfOWRFSAxbDTvahkQnQwuTe/j3bvFZxCKT/nZW1bm7+01bzDg94vPG1ru8fx+4UI79sGl0amA5tG5W2IYC6drji2L6zk3DgKJYaN5V8uA6GRwY3oHV66sJHpl+vTTe/fumTtXqMzG/PzgwPWb7G898oj5efn/++DBhO+GG6NTBM2jc6vEBAb9O9qq3bvyyAqQGDaad7UMiE4G16V3eu/eSqK9Zdce+SOERtRHO3camz2TnW2WmANLl1r8/edbW9fdcstTGRnD1sr09Cf+y39ZmZ4+7Jbrb731wsmTic/CtbjuqEss7pOYweDA2x1vWNeXooZcF42+mIHEsNG8q2VAdDK4K73gwMCam29+Ljd3wH/t3vrLU6capvJhQ4Ox5ZuzZ5sl5nfz5ll8iwNLl9rxOYv/a9u2xMfhWtx11CUcN0kMY/RF2ZVHVoDEsNG8q2VAdDK4K71jNTWVREfWrRNf/qWra7nHY4jCpfZ2Y8sBv//3Cxca3zJ+ZFgGA4GPdu7802uvDVsH1q/fvnTpgfXrh93y4927E/XRiamBu466hOMOiem/2ld3sqqoIdeivtzx8ojaE0+7cfTFDCSGjeZdLQOik8Fd6b06Y8Zyj+evly+LL833kjZPnBi5/R+rq8V3T+/dm/CdcVd0SqF5dKpLjBh9KW7Ms37zqPbE0+qvPLICJIaN5l0tA6KTwV3pXT59+jPTmfn5UaMMiTlWE/1js55MT68k+tuVKwnfmSRE98HmzQeffFL9+mDLlrj+LncddQlHXYkZDA7saKu2PvpS3Ji3+fgTqaEvAkgMG827WgZEJ4N70/v/Dh0yDGaF1xvoizKM/VUwuMLrrSkosGMHkhDdi+PG2TFBJ+EVb8LuPeoSgooSE+/cl/te/eaOtmr3zn0ZCkgMG827WgZEJ4N70zMvon51xoyo23zS3FxJ9G8rVtixA0mIbsDvv9rfr34Z86wt4t6jLiHY/hEncUlMvKMvqaovAkgMG827WgZEJ4N70zMvoh5q7c/uOXMqif589qwdO+De6BxH8+hUkRjG6Mue07Wpqi8CSAwbzbtaBkQng0vT++Lc1Hh6IwAAF+hJREFUOfPtjL90dUVuc7W/f2Va2tZJk+L6zQN+f9v27Sfr6oatd5577vWKineee27YLdu2bzc/iA+49KhLFM5LTLzPfdFBXwSQGDaad7UMiE4Gl6YnHnkn6pns6B/eeejZZytvfHiMFfYvWWLHrJETW7cm4u9OEVx61CUKJyUGoy+xgcSw0byrZUB0Mrg0vY937zb8oLG4OHKDq/39z+bkbBg9Ot7f3HXkyIvjxq0eMWLYejor68nMzKezsobd8qUJEy6eOpWIvztFcOlRlyickRjxmUfWF07rpi8CSAwbzbtaBkQng0vT++zEidgSs7esrNKej0wycGl0KqB5dMmWGIy+WAcSw0bzrpYB0cng3vSMT7FemZZ2tb/f/C3xELz3qqps3QH3Ruc4mkeXPInB6Eu8QGLYaN7VMiA6Gdyb3vnW1pVpacJjXpk+vaetbTAQ6Dpy5PWZM+1bVm3GvdE5jubRJUli1jb/GqMv8QKJYaN5V8uA6GRwdXqX2tt3zpq1wus1T6F9YcyYT5qbk/DuykY34PcfWbdu3+LFvR0dTu9LdJSNLjnYKzGDwYEX9q287+VboS8MIDFsNO9qGRCdDCmQ3lfB4MVTp840NZ1pavri3Lmkva+y0RmffGn+uG+lUDa65GCXxIibRxh9kQESw0bzrpYB0cmA9NioGd2l9nbzJ3u3JO5sfKm9/cOGhs/kPhpZoGZ0SSPxEgN9SRSQGDaad7UMiE4GpMdGzegaiorMN9ee8PmiPgkwXs6+9ZbhRv9+9Kjkb1MzuqSRSImBviQWSAwbzbtaBkQnA9Jjo2B0Z5qaIp+zt3PWLPnfvHniROMXtm3fLvnbFIwumSRGYqAvdgCJYaN5V8uA6GRAemxUi+6rYHDD6NFRnxfcfeyYzG8O9PWZb1H1tLVJ7qpq0SUZWYmBvtgHJIaN5l0tA6KTAemxUS26I+vWVRJtGD1a/Ie5Xhw3TuY3f7Rzp/GrVmVlye+qatElGb7EQF/sBhLDRvOulgHRyYD02CgVnb+3d1VWViXR2bfe+ioY3JifH+Yx8X6GlJmm+fON37PjwQfl91ap6JIPR2Li1ZdpW7+xYd9y6Eu8QGLYaN7VMiA6GZAeG6WiE8uqG4qKxJed+/eHScyzOTns5dbVY8cav+eP1dXye6tUdMknPolhjL5s2Ld8/4F3YnyKNRgKSAwbzbtaBkQnA9Jjo050Yln1co/nUnu78WJjcXGYx/CWW1/t7zdPiEnIJ1mqE50jWJWYePWluDGv7mRVYNAf41OsQWwgMWw072oZEJ0MSI+NOtG9Mn16JdHvFy40v/jns2fN8hHXcuuGoiLjI7ifysgw/xLj9Y35+RdOnuTtsDrROcLwEiM59wUSwwYSw0bzrpYB0cmA9NgoEt3Zt94S823/evly2Lf+sGgRb7n1htGjn8rIEGX+VIcVXq/x+tq8vMunT/P2WZHonCKWxMSrL3fXZ7/y4ZqwuS+QGDaQGDaad7UMiE4GpMdGheiMZdVH1q2L/O7frlxZPWKE5HJr84SYYzU1CdltFaJzkOgSwxh9aTpTHxiMMtEJEsMGEsNG866WAdHJgPTYqBCdsax6qA3+WF0ts9w60Ndn/lnznBsZVIjOQcIlhjH68vqf1sdYeQSJYQOJYaN5V8uA6GRAemwcj85YVt2xb1+MzV4YM4a93Nr8hJjVI0YkYq9DIQWic5brEsMYfak7WfWXwOex3wASwwYSw0bzrpYB0cmA9Ng4Hp1YVv3K9OmxNzvX0sJebv2vCxYk9gkxAsejcxYKsUZfxMojK28AiWEDiWGjeVfLgOhkQHpsnI3OWFb957Nnh934tfvv5y23Nk+IObF1q/ReX0Pzo47iXThdc2xZ/9U+628AiWEDiWGjeVfLgOhkQHpsnI1OPAamubzcysa9HR3mRUYWl1uHTYixYksW0fyos+QuQ608sgIkhg0kho3mXS0DopMB6bFxMLpPmpsriapGjvzblSsWf+Sdiop4l1ubJ8Q8m5MjvdfX0fyoG15fihpy4x19MQOJYQOJYaN5V8uA6GRAemycis74aKSjGzda/6lAX98z2dlxLbc2T4h5c/Zs6R2/juZHndTKIytAYthAYtho3tUyIDoZkB4bp6ITy6pfGDMm3h/8YPPmuJZbvzhunLHlybq6sO9aHwSKRPOjLrq+3PHyiNoTT7NHX8xAYthAYtho3tUyIDoZkB4bR6Lz9/aK59d17t/P+HGzl8Rebh02IeaLc+fM332vqqqS6KOdOzl/g/ZHXZSbR7Unnra48sgKkBg2kBg2mne1DIhOBqTHxpHoxCcJPJ2ZuWfuXEZtnTTJ4nLr9l27jG3W3Hyz+VtX+/ufzcl5NidnMBDg/RWaH3U3rDzafPyJBOqLABLDBhLDRvOulgHRyYD02CQ/usunT4d9pmNCKupya/O9p7AnxPxu3jyZYZiQ9kfdtcfW7Wirlpz7MhSQGDaQGDaad7UMiE4GpMcm+dGJZdUJr6jLrdu2bzc22DN3rvH6u089VUm0t6xM5g/R/Kgj+/RFAIlhA4lho3lXy4DoZEB6bJIcXce+fXYYTOUQy60HAwGxBqqSqHby5MFA4Hxr6yvTp1cS7SopkfxbND/qYn2KdUKAxLCBxLDRvKtlQHQyID02SY4u8qm7CazlHk9fd3fYO/718uXdc+aYb2Ctv/XWtu3b5f8WzY86SIy6QGLYaN7VMiA6GZAeG02iCw4MdOzbd6ap6fLp04n6nZpENxSQGHWBxLDRvKtlQHQyID02iI6N5tFBYtQFEsNG866WAdHJgPTYIDo2mkcHiVEXSAwbzbtaBkQnA9Jjg+jYaB4dJEZdIDFsNO9qGRCdDEiPDaJj49LoLl++nJDfA4lRF0gMG5d2tQogOhmQHhtExyax0ZEFxo4dy/u1xpd1dXVZWVmJ2eGE/JYYQGLYQGLY4ITIBtHJgPTYIDo2yZeYJUuW8H7tUF9K7XBCfksMIDFsIDFscEJkg+hkQHpsEB2bpEX37LPPEtHNN98sfycIEqMFkBg2OCGyQXQyID02iI5NcqLbv38/EaWlpSXkag6J0QJIDBucENkgOhmQHhtExyYJ0Z0/f37EiBFE1NDQEPndc+fOlZWVZWdne73ezMzMkpKStra2sG0Ma4l6f0pm3yAx6gKJYYMTIhtEJwPSY4Po2Ngdnd/vHzt2LBE98sgjkd9tbW3NzMwMk5K0tLTm5mbzZpAYJbhw4cK8efNGjBjh9Xpzc3MXLFhw4cIF+94OEsMGJ0Q2iE4GpMcG0bGxO7pZs2YR0ZQpUyK/1dvbO3LkSCKqqKjo6uoKBoPHjh2bP38+EWVkZHSbPkAKE3uVQNiomVGjRgWDQZveDhLDBidENohOBqTHBtGxsTW6NWvWEFFubm5PT0/kd1euXBn1IrV48eKwRUyQGOdpamoSE7OPHDkSCoWOHj2anZ1NRPv27bPpHSExbHBCZIPoZEB6bBAdG/uia2lpISKfzzfUFXzKlClE1NvbG/b62bNniWjChAnGK5AY55k7dy4RNTY2Gq9s3LiRiBYtWmTTO0Ji2OCEyAbRyYD02CA6NjZFd/78eXGrKOpkXkFaWlrUOS7GzBhjS0iM80ydOpWI2tvbjVdOnTpFRFOnThVfiv9XgsFgeXl5enp6ZmbmypUrQ6FQb2/v7NmzfT5fenr6ggUL/H6/xXeExLDBCZENopMB6bFBdGzsiC4QCBQUFBDRggULYmzm8XhiSIzX6zW2hMQ4j5iAPTAwYLwSCASIKDMzU3wp/l8Rc5oMGhsbJ02aZH6lvLzc4jtCYtjghMgG0cmA9NggOjZ2RFdSUkJEkydPjr2ZGImxMjEUEuM8Pp8vMnRxv9D4byK69dZb29ragsFgRUUFEWVkZBQUFHR0dBivZGdnW3xHSAwbnBDZIDoZkB4bRMcm4dGJmRJDTeY1I0ZrwlZTRwUS4zxRQzePmIkNjP87/X6/eOXo0aPiFTFy4/F4LL4jJIYNTohsEJ0MSI8NomOT2OgOHjzo8Xh8Pt+xY8eG3XjJkiVEVFhYGPb67t27iaioqMh4BRLjPBZHYgKBgPm7YUNtcf0/B4lhgxMiG0QnA9Jjg+jYJDC67u5uMZm3rq7O4vZiosW0adNOnToVCoUOHjy4YMECn8/n8XjEK4Kwa5+4D/XWW2/J7zMkxiqRc2IGBgYi58SYf8TKKzGAxLDBCZENopMB6bFBdGwSGJ14vosVjB9pbm5OT0+P3GDr1q3m3xz2U2JtduRvYwCJscq0adPoxtVJp0+fJtNzDCEx6oATIhtEJwPSY4Po2CQwutGjR8crMaFQ6OzZs3Pnzs3JyRH3oYqKiiJnyYT9VFdX14wZM9LS0jwej/V5olGBxFhFLDsy2+XWrVuJaO7cueJLSIw64ITIBtHJgPTYIDo2mkcHibFKc3MzEeXk5Ign9h45ckQ8sbepqUlsAIlRB827WgZEJwPSY4Po2OgT3Zdffhn5IiQmDkaNGhU2pDZu3Djju5AYddCnqxMOopMB6bFBdGw0iW7ZsmX5+fmRq74hMXFw7ty50tLSzMxMj8eTlZVVVlZmDhQSow6adLUdIDoZkB4bRMdGh+i+/PLL/Px8Ior0GEiMukBi2OjQ1TaB6GRAemwQHRtNouvp6YnqMZAYdYHEsNGkq+0A0cmA9NggOjb6RBfVYyAx6gKJYaNPVyccRCcD0mOD6NhoFV2kx9CBAweW2cmuXbtaWlp27dpl67ukJN/97neJaMqUKU7viPuora1taWmpra11ekfcB6KTAemxQXRsdItu0aJFeXl5wmP6+/tp2bJlFh9uw2Pt2rUtLS1r16619V0AMFNaWtrS0lJaWur0jrgPRCcD0mOD6NhoGN38+fN9Pp940iy1tLRU2klJScnatWtLSkpsfZeURDyYecqUKU7viPu47777SktL77vvPqd3xH0gOhmQHhtEx0a36IyRmNtuu62/v9/2OTHLMLGDC6Jjg+jYIDoZkB4bRMdGq+guXrwo5sTcdttt1+bE2P2WWuWbWBAdG0THBtHJgPTYIDo2+kQXaTAhSIzKIDo2iI4NopMB6bFBdGw0iS6qwYQgMSqD6NggOjaITgakxwbRsdEhOuOJvWEGE0qCxIiJwy0tLXa/Ueqhw6FpEzjq2CA6GZAeG0THRpPoKisrIw0mlASJAWwgMQAAAICgv78/8kVIjLpAYgAAAIAYQGLUBRIDAAAAxAASoy6QGAAAACAGkBh1gcQAAAAAMYDEqAskBgAAAIhB8iRm6dKlRHCmOIhLYi5cuDBv3rwRI0Z4vd7c3NwFCxZcuHDB7j1UDRxjPFasWJGfn+/z+TIyMkpLS8+fP+/0HrmGrq6umTNnpqWlpaWlTZ069dixY07vkfvYvn072tY6gUAg6mciOr1fjpGkv7y1tdXj8egcNIO4JGbs2LFhx/SoUaOCwaDdO6kOOMZ4zJkzJ+zIGTly5Llz55zeLxfQ09OTnZ1tjs7r9R46dMjp/XIT3d3dI0aMQNta5+TJk5AYM8n4y/fv35+Zmal50AysS0xTUxMR3XzzzUeOHAmFQkePHhXn1n379tm/m0qAY4xHS0sLERUXF3d0dIRCoWAwuHHjRiIqKSlxetdcQHl5ORFNnz798uXLgUBA6OCUKVOc3i83MW3aNLRtXOzatYuI7r//fqd3RBVsP3QqKio8Hs/kyZNxpMaLdYmZO3cuETU2NhqviEvRokWL7NxBVcAxxmbSpElEdOXKFeOVYDBIROnp6Q7ulVvIyckhoq6uLvGl3+8nIp/P5+xeuYj169djICFetm3bRkRz5851ekdUwfZDh4jKysqM23iRG9TU1IwdO9br9aalpU2YMGHr1q1275JbsC4xU6dOJaL29nbjlVOnThHR1KlTjVdSOGccY4lF3BYxvkR6Funr6yOi7Oxs84tIbyja29vT0tLGjBkTtW2R21CUlZURUXV1dYxttErPdokx7hBHPVJXrVoVeW9vzZo1du+VK7AuMeJOysDAgPGKuKJnZmaKL1M7ZxxjCaSrq4uIJkyYIL5Eeha5cuVKSUkJEa1atcp4EekNRTAYHDt2rM/na2tri2xb5BaDBx54gIjWrVt3//33+3y+zMzMefPm9fb2Ghvoll7yBvGiXmDE1I29e/cGg8FgMNjQ0EBEeXl5SdsrlbEuMT6fLzJbMo1sa5IzjjF5KisriWjz5s3iS6Rnhddee01MKi8vLze/jvSGYvHixcaVNbJtkVsMCgsLIx1l9OjRfX19YgPd0nNYYsTVd/v27UnbDRdhXWKiZkummwKa5IxjTJJTp06lpaVNmzbNeAXpWaG6urqwsDAtLc3j8Zg9BulFpbW1lUw3uyPbFrnFID09nYieeuopsfi0t7dXzChfsmSJ2EC39GQlJlIJo15IQkNcYMTtPSKaPn36W2+9tX//fvM9Ec1J4EiMJjnjGJOhu7s7Nzd39OjR5qFppGcdv99fXFwsLjDiFaQXSV9f380335yVldXd3S1eiWxb5BYX58+fJ6JbbrlFfKlbeg6PxPj9/vLycqGWghEjRrS2tiZtr1RGZk7MwMAAmebEaJIzjjE23d3do0aNysvLMy4tAqQXF2JGUU5OjvgS6UUiZg699tprxiuRbYvc4oVM4+66peewxAgGBgZ27txZWloqliyOHTs2aXulMtYlRjxrwbw66fTp0xTxyIqUzxnHGI8jR47k5eXl5+eHGYwB0rMORayyRnpmKCbmLZGbRcRjEdLS0swv6pOeEhJjINYompd36ox1iZk/fz4RmdfRbd26lYZ+lkCq5oxjjMGuXbt8Pl9hYaH5LtJQID0z4lGz5qcbt7e3E9GoUaOibo/0QvFIjAFyM5OVlUVE5n9viKPO/EANMymfnsMSc8sttxBRXV2dmEe9efNmIsrPz0/aXqmMdYlpbm4mopycHPHE3iNHjogJ6k1NTWIDTXLGMRYvJ0+e9Hq9+fn5xtKGMJBeDMQ/Hh544AHxtMDu7u6ioiIiWrFihdgA6Vkhsm2RWwzmzZtHRKWlpf39/aFQ6PLly2LRtfGwU93Sc1hixIBBGObbpToT12cnjRo1KizGcePGGd/VJGccY/EyY8aMIf5JfC1GpBeDnp6evLy8sHAmT55szE5DelaIbFvkFoMLFy6IO0RmHnzwQWMD3dJz/nZSXV3dhAkTvF6v1+stLCzctWtX0nZJceKSmHPnzpWWlmZmZno8nqysrLKysp6eHvMGOuSMYyxexLq2GBITQnox6enpmTdvXlZWlsfjGTVq1IoVKwKBgHkDpDcsUdsWucXgwoULc+bMEWf70aNHV1VVhW2gVXr4xAp1iUtiAAAAAN2AxKgLJAYAAACIASRGXSAxAAAAQAwgMeoCiQEAAABiAIlRF0gMAAAAEANIjLpAYgAAAIAYQGLUBRIDAAAAxAASoy6QGAAAACAGkBh1gcQAAAAAMbBdYr744osTJ0588cUXdr9R6gGJYeP3+zs7O/1+v9M74j4QnQxIjw2iY6N5dLZLzIkTJ1paWk6cOGH3G6UekBg2nZ2dLS0tnZ2dTu+I+0B0MiA9NoiOjebRQWLUBRLDRvOulgHRyYD02CA6NppHB4lRF0gMG827WgZEJwPSY4Po2GgeHSRGXSAxbDTvahkQnQxIjw2iY6N5dJAYdYHEsNG8q2VAdDIgPTaIjo3m0UFi1AUSw0bzrpYB0cmA9NggOjaaRweJURdIDBvNu1oGRCcD0mOD6NhoHh0kRl0gMWw072oZEJ0MSI8NomOjeXSQGHWBxLDRvKtlQHQyID02iI6N5tFBYtQFEsNG866WAdHJgPTYIDo2mkcHiVEXSAwbzbtaBkQnA9Jjg+jYaB4dJEZdIDFsNO9qGRCdDEiPDaJjo3l0kBh1gcSw0byrZUB0MiA9NoiOjebRQWLUBRLDRvOulgHRyYD02CA6NppHB4lRF0gMG827WgZEJwPSY4Po2GgeHSRGXSAxbDTvahkQnQxIjw2iY6N5dJAYdYHEsNG8q2VAdDIgPTaIjo3m0UFi1AUSw0bzrpYB0cmA9NggOjaaRweJURdIDBvNu1oGRCcD0mOD6NhoHh0kRl0gMWw072oZEJ0MSI8NomOjeXSQGHWBxLDRvKtlQHQyID02iI6N5tFBYtQFEsNG866WAdHJgPTYIDo2mkf3/wOOhgZ9JFBUCQAAAABJRU5ErkJgggA=[/img][br]Das geht aber nur so, wenn die Geschwindigkeit immer gleich groß ist, denn sonst ist das keine Gerade mehr. Bei den meisten "echten" Bewegungen ändert sich die Geschwindigkeit jedoch ständig. Wie können wir in einem solchen Fall die momentane Geschwindigkeit berechnen?[br][br]Tja, da brauchen wir eben die Steigung einer Kurve an bestimmten Punkten, denn die gibt uns dann die Momentangeschwindigkeit an.[br][br]Wenn man erst mal das Grundproblem der Differenzialrechnung (Steigung von gebogenen Graphen) im Griff hat, kann man damit dann ziemlich nüzliche Dinge anstellen. [br]Ein wichtiger Anwendungsbereich ist z. B. die Optimierung. Da geht es um Fragen dieser Art: [br][list][*]Welche Maße hat die optimale Konservendose, damit ein Liter Suppe in möglichst wenig Blech verpackt werden kann? [/*][*]Wie groß muss die Produktionsmenge in einer Firma sein, damit der Gewinn maximal wird?[/*][/list][br]Ich hoffe, du bist nun einigermaßen davon überzeugt, dass das Thema nicht ganz unwichtig ist.[br]