Explanation Given: The function is f ( x ) = ( 5 x − 2 ) 5 Concept Used: Chain rule of differentiation is: d d x f [ g ( x ) ] = d d g f ( g ) d g d x , where u is a differentiable function at x and f is a differentiable function at u ( x ) d d x x n = n x n − 1 product rule of differentiation formula d d x ( u v ) = v d d x u + u d d x v Differentiation formula of some trigonometric function d d x ( sin x ) = cos x , d d x ( cos x ) = − sin x Calculation: To find differentiation of function f ( x ) = ( 5 x − 2 ) 5 Differentiate both side of the equation with respect to x as f ( x ) = ( 5 x − 2 ) 5 d d x ( f ( x

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3.5, Problem 13PS

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To find derivative of the given function f(x)=(5x−2)5 .

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Chapter 3.5, Problem 12PS

Chapter 3.5, Problem 14PS

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Chapter 3 Solutions

Calculus

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To find derivative of the given function f ( x ) = ( 5 x − 2 ) 5 .

Solution Summary: The author explains how the function f(x) is a derivative of the given function.

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To find derivative of the given function f(x)=(5x−2)5 .

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Chapter 3 Solutions