Explanation Given: y = ( x 2 + 5 ) 3 ( 3 x 3 − 2 ) 2 Formula used: d d x ( u v ) = v u ' + u v ' Calculation: Differentiate the given function with respect to x. y = d d x ( ( x 2 + 5 ) 3 ( 3 x 3 − 2 ) 2 ) We know that d d x ( u v ) = v u ' + u v ' Here u = ( x 2 + 5 ) 3 and v = ( 3 x 3 − 2 ) 2 . y ' ( x ) = ( x 2 + 5 ) 3 d d x ( 3 x 3 − 2 ) 2 + ( 3 x 3 − 2 ) 2 d d x ( x 2 + 5 ) 3 y ' ( x ) = ( x 2 + 5 ) 3 2 ( 3 x 3

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 3, Problem 59FOP

To determine

To differentiate:

The given function has to be differentiated.

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Chapter 3, Problem 58FOP

Chapter 3, Problem 60FOP

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To differentiate: The given function has to be differentiated.

Solution Summary: The author explains how to differentiate the given function with respect to x.