1.1 Función definida por partes
En matemáticas, una función definida a trozos es una función cuya definición, llamada regla de correspondencia, cambia dependiendo del valor de la variable independiente.[br][b]Dominio: [/b]Una función real f (definida a trozos) de una variable real x es la relación cuya definición está dada por varios conjuntos disjuntos de su dominio (conocidos como subdominios)[br]Una función es diferenciable a trozos si cada trozo es diferenciable a lo largo del dominio.[br][b]Recorrido:[/b] El recorrido de una función es el conjunto de valores que toma la función cuando se aplica sobre los elementos del dominio. En una función real de variable real estos valores son números reales.
[img]https://www.problemasyecuaciones.com/funciones/trozos/T1.png[/img][br]Para calcular la imagen de un punto x, usamos la primera definición si x≤0x≤0 y la segunda si x>0x>0.[br][img]https://www.problemasyecuaciones.com/funciones/trozos/g1.png[/img][br]Podemos observar que la parte de gráfica donde x≤0x≤0 coincide con la gráfica de la función y=−x y la parte donde x>0x>0 coincide con la de y=x.[br][br][b]Dominio: ][math]+\infty;0[/math][/b][b] ][br][/b][b]Recorrido:[[math]-0;+\infty[/math][/b][[br][br][br][br]
Derivadas y sus Aplicaciones
[math][/math]· Estudiar los intervalos de crecimiento y decrecimiento de una función[br][br]· Obtener máximos y mínimos relativos[br][br]· Problemas de optimización [br][br]· Obtener intervalos de concavidad y convexidad[br][br]· Obtener puntos de inflexión[br][br][b]Estudiar los intervalos de crecimiento y decrecimiento de una función[/b][br][br]Si una función f cumple que su derivada es mayor que 0 en un intervalo, entonces f es creciente en ese[br]intervalo[br][br]f´ > 0 entonces f es creciente[br][br]Si una función f cumple que su derivada es menor que 0 en un intervalo, entonces f es decreciente en ese intervalo[br][br]f´ <0 entonces f es decreciente[br][br][b]Obtener máximos y mínimos relativos[/b][br][br]· Máximos[br]Si una función pasa de crecer a decrecer en un punto Xo en ese punto hay un máximo relativo[br][br][img]data:image/png;base64,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[/img][br]Los puntos candidatos a ser máximos relativos son aquellos que cumplen que su derivada es 0[br][br]· Mínimos[br]Si una función pasa a decrecer a crecer en un punto Xo en ese punto hay un mínimo relativo[br][img]data:image/png;base64,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[/img][br]Los puntos candidatos a ser mínimos relativos son aquellos que cumplen que su derivada es 0[br][br]Hay dos formas de hallar si un punto Xo, es máximo o mínimo[br][br]1. Criterio de la Primera Derivada[br][br]Hay que hacer un estudio del crecimiento y decrecimiento de la función 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[/img][br]Es el método o teorema utilizado para determinar los mínimos relativos y máximos relativos que pueden existir, donde se observa el cambio de signo, en un intervalo abierto señalado que contiene al punto crítico c.[br][br]Si [img]data:image/png;base64,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[/img] cambia de negativa a positiva en c, entonces f tiene un mínimo relativo en (c, f(c)).[br]Si [img]data:image/png;base64,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[/img]cambia de positiva a negativa en c, entonces f tiene un máximo relativo en (c, f(c)).[br]Si [img]data:image/png;base64,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[/img]es positiva en ambos lados de c o negativa en ambos lados de c, entonces f(c) no es ni un mínimo ni un máximo relativo.[br][br]2. Criterio de la Segunda Derivada[br][br][img]data:image/png;base64,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[/img][br]La segunda derivada de una función f mide la concavidad de la gráfica de f. Una función cuya segunda derivada es positiva será cóncava hacia arriba (también conocida como convexa), lo que significa que la línea tangente estará debajo de la gráfica de la función.[br][br]Sea f una función tal que [img]data:image/png;base64,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[/img] = 0 y la segunda derivada de f existe en un intervalo abierto que contiene a c.[br]Si [math]f'\binom{ }{c}[/math] > 0, entonces f tiene un mínimo relativo en (c, f(c))[br]Si [img]data:image/png;base64,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[/img] < 0, entonces f tiene un máximo relativo en (c, f(c))[br]Si [img]data:image/png;base64,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[/img] = 0, entonces el criterio falla. Eso es, f quizás tenga un máximo relativo en c, un mínimo relativo o ninguno de los dos. En tales casos, se puede utilizar el criterio de la primera derivada o el criterio de la tercera derivada.[br][br]3. Criterio de la Tercera Derivada[br][br]Es un método del cálculo matemático en el que se utiliza la tercera derivada de una función para confirmar o comprobar los puntos de inflexión obtenidos a partir de la segunda derivada. Es un caso particular del Criterio de la derivada de mayor orden.[br][br][img]https://upload.wikimedia.org/wikipedia/commons/thumb/a/a8/Derivada_cero_11d.svg/340px-Derivada_cero_11d.svg.png[/img][br][br][b]Procedimiento[/b][br][br]1. Calcular las derivadas segunda y tercera de f(x)[br]2. Hallar los puntos que cumplen f´´(x) = 0[br]3. Evaluar f´´´(x) = 0 con los valores obtenidos en el paso anterior. Si es diferente de 0; entonces, es un punto de inflexión. En caso contrario, se debe usar el criterio de la derivada de mayor orden: si y solo si el menor orden de las derivadas superiores diferentes de cero es impar; el punto evaluado corresponde a uno de inflexión.[br]4. En la función original calculamos los valores de las ordenadas según se trate de una o de varias.[br][br]Preguntas[br][br]1. ¿Cómo se obtienen los máximos?[br]2. ¿Cómo se obtienen los mínimos?[br]3. ¿Qué pasa con los máximos relativos, si [img]data:image/png;base64,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[/img]cambia de positiva a negativa en c?[br][br]