Explanation Given information : f ( x ) = − 2 x 2 Formula needed : d d x ( x n ) = n x n − 1 Calculation : differentiate f ( x ) with respect to x , f ′ ( x ) = d d x ( − 2 x 2 ) = − 2 ( − 2 ) x 3 = 4 x 3 Again, differentiate f ′ ( x ) with respect to x , f ′ ′ ( x ) = d d x ( 4 x 3 ) = 4 ( − 3 ) x 4

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

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

Publisher: Kendall Hunt Publishing

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Chapter 3.2, Problem 23PS

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Tocalculate: f′,f″,f‴, and f(4)

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Chapter 3.2, Problem 22PS

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Chapter 3 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

Ch. 3.1 - Prob. 1PS Ch. 3.1 - Prob. 2PS Ch. 3.1 - Prob. 3PS Ch. 3.1 - Prob. 4PS Ch. 3.1 - Prob. 5PS Ch. 3.1 - Prob. 6PS Ch. 3.1 - Prob. 7PS Ch. 3.1 - Prob. 8PS Ch. 3.1 - Prob. 9PS Ch. 3.1 - Prob. 10PS

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Tocalculate : f ′ , f ″ , f ‴ , and f ( 4 )

Solution Summary: The author explains how to calculate the value of fprime with respect to x.

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Tocalculate: f′,f″,f‴, and f(4)

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Chapter 3 Solutions