Explanation Given information: The given function is g ( t ) = 1 − 2 t 3 3 . Formula used: The formula to calculate the differential of a function h ( x ) = [ g ( x ) ] n by General Power Rule is, h ′ ( x ) = n [ g ( x ) ] n − 1 ⋅ g ′ ( x ) Calculation: The given function is, g ( t ) = 1 − 2 t 3 3 = ( 1 − 2 t 3 ) 1 3 (1) Differentiate equation (1) with respect to t on both sides to evaluate g ′ ( t ) . g ′ ( t ) = d d t ( 1 − 2 t 3 ) 1 3 = 1 3 ( 1 − 2 t 3 ) 1 3 − 1 ( 1 − 2 t</

10th Edition

ISBN: 9781337825597

Author: Tan

Publisher: INTER CENG

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Chapter 3, Problem 20RE

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To find: The derivative of the given function.

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Chapter 3, Problem 19RE

Chapter 3, Problem 21RE

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Chapter 3 Solutions

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The derivative of the given function.

Solution Summary: The author explains the formula used to calculate the differential of a function.

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To find: The derivative of the given function.

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Chapter 3 Solutions