ACTIVIDAD 7.docx - Nombre Nombre del curso Fundamentos de Matrícula Nombre del profesor matemáticas Módulo:1 Actividad 7 Fecha INTEGRANTES a Para

# ACTIVIDAD 7.docx - Nombre Nombre del curso Fundamentos de...

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Nombre : Matrícula : Nombre del curso: Fundamentos de matemáticas Nombre del profesor Módulo :1 Actividad : 7 Fecha : 06/03/2019 INTEGRANTES a) Para obtener la derivada de las siguientes funciones identifica la fórmula que se utilizaría y aplícala. Función Fórmula de la derivada Solución

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d dx x n = n x n 1 y = 1 5 5 x 4 d dx lnv = dv dx v = 1 v dv dx ln t = 1 t d dx sen v = cos v dv dx Sen r = cos r (1) = f(r)= cos r d dx e v = e v ( dv dx ) e^w (1) = e^w g’(w)= e^w d dx a v = a v ln a ( dv dx ) y= (ln 3)^x . ln (ln 3) b) Utiliza las fórmulas para obtener la derivada de las siguientes funciones y = x 2 5 x = x 2 x 1 5 = x 2 . x -1/5 = x -9/5 = y ’= 9 5 x 4 5
( 1.32 ) x . ln ( 1.32 ) ( dx dx ) = ( 1.32 ) x . ln ( 1.32 ) x 2 5 x h ( x ) = e 3 h ( x ) y = x 3 6 = 1 6 x 3 = 3 6 x 2 y= 3 6 x 2 f(x)=(1.32) x = g ( t ) = ( 3 4 ) x = ( 3 4 ) x . ln ( 3 4 ) h ( s ) = e 5 = ¿ e 5 . ( d 5 dx ) = 0 f ( x ) π x = π x ln π ( dx dx ) = π x . ln π y = 2 4 x = 2 ( x ) 1 4 = 2 .x ( 1 4 ) = 2 x ( 1 4 ) = 2 4 4 x 5 h ( x ) = e 5 1 x 3 + x x = ¿ h ' ( x ) = 3 2 x 5 + x. ln x d ( 1 x 3 ) dx = 1 x ( 3 2 ) =− x ( 3 2 ) = 3 2 x ( 3 2

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