To determine To find: The derivative of y = ( 2 x 3 + 9 x ) 5 . Explanation Given: The function is y = ( 2 x 3 + 9 x ) 5 . Calculation: Obtain the derivative of y by letting f ( x ) = x 5 and g ( x ) = 2 x 3 + 9 x , so that y = f [ g ( x ) ] . Then use the alternative form of the chain rule. d y d x = f ′ ( g ( x ) ) ⋅ g ′ ( x ) Here f ( x ) = x 5 with f ′ ( x ) = 5 x 4

Calculus with Applications Books a la Carte Edition

11th Edition

ISBN: 9780133864564

Author: Margaret L. Lial; Nathan P. Ritchey; Raymond N. Greenwell

Publisher: Pearson Education

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Chapter 4.3, Problem 22E

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To find: The derivative of y=(2x3+9x)5 .

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Chapter 4.3, Problem 21E

Chapter 4.3, Problem 23E

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Chapter 4 Solutions

Calculus with Applications Books a la Carte Edition

Ch. 4.1 - YOUR TURN 1 find f′(t). Ch. 4.1 - YOUR TURN 2 find dy/dx. Ch. 4.1 - Prob. 3YT Ch. 4.1 - Prob. 4YT Ch. 4.1 - Prob. 5YT Ch. 4.1 - Prob. 1WE Ch. 4.1 - Prob. 2WE Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...Ch. 4.1 - Find the derivative of each function defined as...

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