Esta es la regla más importante y que nos permitirá derivar cualquier tipo de función. f ( x ) = sin ( a x + b ) es una composición de las funciones elementales g ( x ) = sin y h ( x ) = a x + b [br][br][b]Ejemplo:[/b][br][br][math]\text{f(x) =\sin(ax+b)}[/math]es una composición de las funciones elementales.[br][math]\text{g (x) =\sin x}[/math]y [math]\text{h(x)=ax+b[br]}[/math][br][br]La composición de funciones nos dice que [math]\text{f(x)=g(h(x))}[/math] o, en otra notación, [math]\text{f=h \circ g}[/math]. Podríamos lógicamente hacer composiciones de tres funciones distintas, o de cuatro, o de cuantas funciones queramos.[br][br][img]data:image/png;base64,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[/img][br][b][br]Regla de la Cadena[br][br][/b]La regla de la cadena nos proporciona la derivada de la composición de funciones:[br] [img]https://www.matesfacil.com/derivadas/T9.png[/img][br][br]Explicamos las reglas de derivación y la regla de la cadena para el cálculo de derivadas. Ejercicios resueltos de calcular derivadas. [br]Es más fácil de entender mediante ejemplos.[br][br][b]Ejemplo 1:[br] [img]https://www.matesfacil.com/derivadas/T10.png[/img][br][/b][br]Se trata de la composición de la función seno y la funciónn cuadrado. Su derivada es la derivada del seno por la derivada del cuadrado:[br][br] [img]https://www.matesfacil.com/derivadas/T11.png[/img][br][b]Ejemplo 2:[/b][br][br] [img]https://www.matesfacil.com/derivadas/T12.png[/img][br]Tenemos las mismas funciones, pero con el orden de composición intercambiado. Su derivada es la derivada del cuadrado por la del seno:[br][br] [img]https://www.matesfacil.com/derivadas/T11.png[/img][br][br][b]Ejemplo 3:[br][/b][br] [img]https://www.matesfacil.com/derivadas/T14.png[/img][br][br]Para derivar esta función tenemos que aplicar la regla de la cadena y la regla de derivación de la suma de funciones:[br][br] [img]https://www.matesfacil.com/derivadas/T15.png[/img][br][br][b]Composición de las Funciones[br][br][/b]La composición de funciones es la imagen resultado de la aplicación sucesiva de dos o más funciones sobre un mismo elemento x. La composición de funciones se realiza aplicando dichas funciones en orden de derecha a izquierda, de manera que en (g o f)(x) primero actúa la función f y luego la g sobre f(x).[br][br] [img]https://www.superprof.es/diccionario/wp-content/uploads/2020/01/composici%C3%B3n-de-funciones-1.gif[/img][br][br][b]Ejemplo:[/b][br][br]Del gráfico adjunto determinar F o G[br][br] 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[/img][br]Se consideran sólo los elementos asociados a líneas que hacen el recorrido completo de A hacia C, pasando por B.[br][br]FoG= {(2; 7), (3;7), (0;8)}[br][br]Video Explicativo:[br]https://www.youtube.com/watch?v=m_5-WS9Nd68[br]