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High School Math Calculus Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

To find the derivative of the given function.

To find the derivative of the given function.

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Differential Equations

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Question

Chapter 10.2, Problem 8QR

To determine

To find the derivative of the given function.

Expert Solution & Answer

Answer to Problem 8QR

dydx=(−1)nx2n2n!

Explanation of Solution

Given:

y=(−1)nx2n+1(2n+1)!

Calculation:

y=(−1)nx2n+1(2n+1)!

Differentiating with respect to x, we get

dydx=(−1)n(2n+1)!⋅(2n+1)x2n+1−1 =(−1)n⋅(2n+1)x2n(2n+1)⋅2n! =(−1)nx2n2n!

Chapter 10.2, Problem 7QR

Chapter 10.2, Problem 9QR

Chapter 10 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 10.1 - Prob. 1QR Ch. 10.1 - Prob. 2QR Ch. 10.1 - Prob. 3QR Ch. 10.1 - Prob. 4QR Ch. 10.1 - Prob. 5QR Ch. 10.1 - Prob. 6QR Ch. 10.1 - Prob. 7QR Ch. 10.1 - Prob. 8QR Ch. 10.1 - Prob. 9QR Ch. 10.1 - Prob. 10QR

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