Explanation Given information: The given function is f ( t ) = ( 2 t 2 + 1 ) . 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, f ( t ) = ( 2 t 2 + 1 ) = ( 2 t 2 + 1 ) 1 2 (1) Differentiate equation (1) with respect to t on both sides to evaluate f ′ ( t ) . f ′ ( t ) = d d t ( 2 t 2 + 1 ) 1 2 = 1 2 ( 2 t 2 + 1 )

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3, Problem 19RE

To determine

To find: The derivative of the given function.

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Chapter 3, Problem 18RE

Chapter 3, Problem 20RE

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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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