Derivative of a function at a point- வகையீடு அறிமுகம்

Function
[b][justify]Graph of a function f is the set of ordered pairs (x,y), where f(x)=y.[br][br]f இன் வரைபடம் என்பது வரிசைப்படுத்தப்பட்ட ஜோடிகளின் (x,y) கணமாகும், [br]இதில் f (x)=y.[/justify][/b]
Tangent line - தொடுகோடு - வட்டம்
[b][justify]In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.[br][br]வடிவவியலில், ஒரு குறிப்பிட்ட புள்ளியில் ஒரு சமதள வளைவுக்கு தொடுகோடு (அல்லது வெறுமனே தொடுகோடு) என்பது அந்த புள்ளியில் உள்ள வளைவை "தொடும்" நேர் கோடாகும்.[/justify][/b]
Secant line - வெட்டுக்கோடு
[justify][b]In geometry, a secant is a line that intersects a curve at a minimum of two distinct points[br][br]வடிவியலில், ஒரு வெட்டுக்கோடு என்பது ஒரு வளைவை குறைந்தபட்சம் இரண்டு தனித்துவமான புள்ளிகளில் வெட்டும் ஒரு கோடு ஆகும்.[/b][/justify]
Slope of a Straight line - நேர்க்கோட்டின் சாய்வு
[justify][b]The slope of a line calculates the "steepness" of a line[br][br]ஒரு கோட்டின் சாய்வு ஒரு கோட்டின் "செங்குத்தான தன்மையை" கணக்கிடுவதாகும்.[/b][/justify]
Derivative of a function at a point -ஒரு புள்ளியில் சார்பின் வகைக்கெழு
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[/img]
Teacher creation
[b]Using the above applets, find the slope of the tangent to the curves given below at the given points. using the concept that the slope of the tangent is the limiting case of the slope of a secant.[/b]
Questions
[b]1.Find the slope of tangent line to the graph of f(x)=-5x[sup]2[/sup]+7x at (5,f(5)).[/b]
[b]2. Find the derivatives from the left and from the right at x=1 (if they exist)[br][br][/b][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAeCAYAAABdalL1AAAFuklEQVRoge2Ze1CUVRiHH3bdzUsuyWU0E3DUUEhUsCzJ1NRCobTMxHFGx0rTHLOblzFNUanpYqbiNc0LkpdRIPOWODmppQaymgKJwHjZFhFoWi7uBfb7Tn+EsIvsOqy75TT7/LXfnPe85/f9vvO+39ldHyGEwItbUfzXAv6PeE31AF5TPYDXVA/gNdUD3MVUCZPRglx3Jcuyk1gZp8P3gmSkqrrGQ8mbh2Ss5G5SHJgqU6HdyuI5H7N6/gRGLznAid0bScv+08lqek5uXs++3ErXFTtKrUshYaXW7XkdY0F/ahsJ05Zx3GynBF3KIpKyLU5nN2mqVLSDWQmXGDBvAW+NjaZD/h7OBI1l9BOBjjMpgxg0KRZp23zWaatduJH7hVsUHNvN9tVr2XHyClUunOLvNFUu48CytVTFvsngdlBZUkjJw+OZGu179wbcIphRb/cje+FnnKhovpj7gzY8OmQiM8dG0tLHtQyNfJIoO7acpBPBxMSFoDRlsmmVlrDYgfjahskmqqut9ZcWQxmGuj6jDIpleIeDrEzOx4qnkDFVVzfktxgoN7i35/qoVShdnNui4WMl2TvXkJxykD/8+qLfl0FOtx85XNKd9yJb1cXUcCF5LonrfiAvYBp70megyVjA5Fl78XktlUOzewG+RPR8hIX7viNn6lz6qG2Xq+TU2qWkXnZktwLf/pP5MD7MVpgdNb8lM2/Jeo7kBjA1LY3pmgwWvjabVMUk9hycTYSjic3GxW2Knaka+sZPoShjJ3nRM5gzI4KLH3+Bwf8ZglvfjlHTa+JXpPQPY9Iru0k/1AFV4QASt8Ti06l7fcpHgjuivJZFVolEn2Db560hevoXRLssF9S9J/Llzmh6TBjNnrTDtFcV8vSnmxlBJ0LdZui9YS/DoiUrR02v+DDUSBTrbiLa+tK2UR2ou45kRM8VrN5rZvumeELV9uMqjYbWIhedzgp2plq4euooF8scnb18aBnyFEP7BDrv3+ouvBgXwapVezF/u5Gx3dVNBBnJ/T6ZEzpHaykJHjKJuLAHnK3kEnam1uRlcc4YzutRLQEjNbX/lOkdhaDwIzy8A+YCFX5N7Q6VChVWZI81VQV+4WG0NxWgblIAgJI2AZ3oJByZqiCgjesl7gwbRRL6zGxudhtKP38FoMLP3xeKqrnVSJd88yfOm0PQ5J1Fax7P863txzGZMOOHn3/jVv8AnaNfoPO9qpZvcvycmRDfPM5qzYyLaSzAjWu5gE2VGTibVUjQgGforARQER7RgxblN7hRCyBTqbtGuek6B3fdIGrmKCJqzpOVa+Bixk9cl27nkakoLcWo6UHPLu5tcnKFjmtlJq7v38WNvjMZ2auW85m5GC5kcLxBgHuQZIQs4cqXxAZTjdlk5jzM4GE96ravgsChMfRTXKGgyArWHDZNjiFuzHIMw8YRGfAUA6PKSU9YwrmAKJvWWcvlS9doNziG/k1tIJeRyN04hdgRY1hR8RzxUQE8OSiSP1MXk3gukMhgVw9Ad65TnJnKN/vPYzLncOjrNM4WN/OBiTospxNEzOg1It8qbKgSv3z0nHg1qUBYhSQqr14Q+aWW+lFreaHI1xuFHeZMkTj8ZZGUYxHuwnplg3g/8bSQKq6Ki/mloj6ztVwUXtILo7PJbsUqrmx4V3xyyuw0SpFXYEDGSNbhSzw+fTyhdg/8QaI/WERU9maOlkHbkAhCAxvetEr/roR2bGUTL1O8fze6uEW88VhTb+R7Q6EJoWdoIPWZlf507d6RVs4m/QcopnyezpnUJA4HvsPsZx+6M8L3aWYtHUzRlp1oDc46jER5Zgq7/nqJpdN733c3+q+SsW2rSP9VL5xvaCGEWS/y8kudVIZe/J5bKmqbXVJ3RzJoRcZJnQcyNxdJGLKPiJ91VqdRPkJ4/011N95f/j2A11QP4DXVA3hN9QBeUz2A11QP4DXVA/wNhrRWGIQgoH4AAAAASUVORK5CYII=[/img][br][color=#0000ff][b]input command of modulus =abs(f(x))[br][/b][/color]
[b]3. Examine the differentiability of functions in R by drawing the diagrams[br][/b][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAAgCAYAAAB6vRjLAAAKC0lEQVR4nO2ce1RU1R7HP8yApeGMgpo3FLvmSlTUEMsEKy1RXpqKwbqPNFOXy0eZj2rdfOErM68pmVmimIaK5gu4WJLdMkwDZMwUFExNBlBeOoMDM8Ccc+4fIsMA2QxCY+uez19wZp/9++7v/u19fuccBidJkiRkZByIwtECZGTkJJRxOHISyjgcOQllHI6chDIOR05CGYcjJ6GMw5GTUMbhyEko43CamIQioljzY5WRSqHmaO1BGxAquGWositqlbESwa4z7EWgosyAfaoaYvGhCqPJWrFlDHU8tEVZRRl22vUHcm++2Z2EYnEaezfvR1MigpDLZxMHMmROEgYE8o9tY/OhLG7Z0I+gjSUySmNzXCE3hld9BzMvyWCvZNsRtOxcHIWmsonni8Wk74nmQEYpIJAbM5FBg+dwuEay1RiEfFJiPiE+s8wWYWhjl7Aho6nCWph79M2uJBSLv+X9FSl0jQhjYCcFKD0Inv8+K6f60wYlXYdNJNC8nYUbT9PcqaL0CGXumlVM8W/TzD03E2Ix361aSUrXcMY92RFQ4hH6Ju+tmopfjWSrMSi78twrwQjbF7BJ04IL60+A7UkoFpAQ+QE3gqYwWH3nNCWdfEMY0bddTUfOeI59jSdPLWbNMVtWuB0oOzEgZCTe7e7HMlakIH4p628GMdlPXWuqstMAggP70s5ywHoMzp68+NpTZCxezfd6R+i+P7B5Ro2p0Xyk6U3Qc2rrD8RySksrLL8ruxAU1JnD63aQY26aKNFYQkGBjkqxAkO5paYSy0uoG+p2bCMAlaUFFOrvFlDEaDBQ26JSR4mumYosYxpbPtTQK/hZrN0RKS8pxVqy9RiUXYMJ7JxE1I5smmgXAFX6Aq5qi6loUGeaMRRpySsub6SeFjGW5FOgq0SsMFDeaMHdgr7VYGMSlvPD/iQKvQbwROs72vRkxq9heoA/o1f/SN1yQN2vDx7n4zl01l6xZi7vX8aCDUn8+P1uVr48ijcP3sCszyRxzTQC/UJZ82MliCWc3ruSKS/4Ef7BYRIi/8ao4ECG+o3i3eMNd+CqMzuYFzaEJwf+nU1ZZoS8wywI9WdIRBRn72Xmayg/vo8vr/fEx6fWHPTnElg7LYBnQ1aTagKx/hhqUdPX24Pz8Yc415S5LTtD7KL5rNp2mOSY1wkNmEFs5u2FWZG9j2Wz3+Hjvf9h7/J/EBS+lMNXa4KYL3Fg6b/YmHSSlN3LeSV0HvE3rDO4pX27g7NNraoukJ6hw/2ZbtRWZAo1fUIjGLBjC6frd9rFk78ornIq/TqCjydKW9VUnWHvp2fw/HgB43ooedHXhQ2nQaHuQ3CEL59H19zIKDrgExaOz+fb0Zz7Gac1W0hefJPt/xzB+p3f8fqQ0bjW6bZV/wms3e2H18vj+OLAlzzs8gv+78UQRBcet82Bu4nmQpoGnfszeFrMQe0dwku+O9h6R3L9MdTijIfnIyivppN+XeAJT5vdArGUI5Fz+eaJ7Wyd0AVFpTfXvplIzBdnCH8U1r32CSxN5K3BrUEMo8esUN6eqaLLgTl4nd1D9JlufLRwPI8px+Lr/CE/1eu+ZX2zYNtOKOSTVyjhqm5rnVBKFW1dnRq2d1ahekjieq7WvkuM0p2H3bLZOOlVVsWlU+w5gRlj3FEASlVbrEI5qWjrqkDVP5ARjz8Eio707OFOle4GhsYefbTqzqiQvlw7tA/TmJkE+w5iiK8HD9ijr1EECrSFSG3VtLU2B1Xbh6grucEYanBRqWgjXUertXN7ufkN+462pv/Azrcn8oGnWZh8mqRFT2M6+jn7c7vTt1/N7qzoREDYUFwv7OfAqUqU7p1xy97AlEkr2ZNeTNeJMxnt3kg6tJhvFmxMwiqqzQD1HXTCqRFTcXLBxRkEwU5TlY8y4cNoZvve4ODCCIYPn8G2M2WIQMNA9WM7oXRWAiKNP35T4Na7Fw8boZVbMy5jBKpum9PQnfqaGzULcHHBBTOinXYJN4ooqSzHUGfVKR5sQ2ulQGFuHhWSQN0paOXpSWf0lJaKKB+dyLroOQy4cZAl4cMInL6Vn8sac66lfKsbwRac3XBXg7Hc8BsTXA/JhNEE7d072H4pBhAKuKTvxeT18RxNXEtYuzTWL97K+eaoP8RCjp020U2dxSmNqRk6vIMLbu5qMBoot+PhsxVGIybccHO3yy2UHTvTSZnHd4c1lpsfsYjkA9/zoKcHrYWLZGVZ6k/JbEZ07o5Xz1YIBZfQ957C2oT/cuiD8ajT1xG55XzDK1eL+WbBtiRs1QdvL2dKC65RbfWBiCRKDd6UiGWFFBlVeHn/1caiswZBS+KmOC5WKlD1Gss7s4bTXqm4LVIUkZDqvGUwI0pQ9ysykgSIEnW/NCPqtVwtNpKbGMc139cZ3a+an9Iy0f2czLHc5nj/4kLvvl44l1zjmrU5iKKEJNbZmRuMAUBEX1REhcoL7+527jSqYYwL7IA2dh6z/r2X5OR4ot9ZSGqbfngETCTisWKStiWQLwAIFKRmYHh+EmE9lAjaeDbH5VCpUOE1diEzXmiPs8KyUze3b2LpcTa+MZ+tGQ2fidqWhIqODBv5FIorOVyuXSoGcpK38dV5M2UZCew+kVfbvDo7m6vthjLCz/4Hy+bLcbw17W3WREWx7ltXpi17lZ6mHL6O+Yrz1Xo0CTs5qdWRfSSWr7OrKU49QNyJy1w5EcfB1EKqLx5l11dZ6EUAM5nRUwkOGs96fQARAzow6DkfSvcvZcXpjvjYcxPw2+bQ8YWRPKW4wsVLln3EkJPMZ19mYdZrSNx1kjx9/THcmchqci5cpf3QkQy21y6FOyOXxbAivAu/xi7j7aU7uNx3FrMD3VG0GcTczesYW72DmZPmExm5kE3aENa/N4bOCgCBy7vnM/2t1WyIWssx1+ksmexVs2k0v2+S7iKpKSlkXGnkwbxkK7eOS5HDw6SNOebfaWiS0pcFSeOjMqXKu7QyX/lUmrvipM3hm4qg/1U6m11k0WIukX65kC9VNC5K2jx7hXTSZG+UW9IPiwKklzZclH7PnQaY0qQVgWOlDefu6pZ05dM3pHdP2C2syfwxvt3G9tcPrv68EemLJiaZkrvUPmJBIntyQ1g0tTet7F4vzY9C1Q3vxztatCjdeaznI7S+20l244rfvCUMyIjh62J7CkORgsQ9aEOWMLnP/eCWhT/Gt5pY9jRW+7/J0mGX+GyXBl0jXgvFaezcpWPMyun0awm19zNqf+YvH8qlbbvRNGZOAwRK0mKJuzmG5TP6t8jk/mloyvZpys+UsouE+nuylJ+VKRVV29aHoNNIySnapoRvOQSdpDmSIuXZfU2tgylfysou+v125nzpfGaRZJtdgqTLOCId196LsBbkHn1zkiT5PzDIOJb78U9SZP7PkJNQxuHISSjjcOQklHE4chLKOJz/AUyq+PIdmEdwAAAAAElFTkSuQmCC[/img]

Derivative of a Function

Derivative of a function at a point
Derivative of a function at a point is the slope of the tangent to the corresponding curve at that point.

The derivative of a constant function is zero

The derivative of arcsine x

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