Explanation Given: The given equation is y = x − 4 x Formula used: Power Rule: ( x n ) ' = n x n − 1 Calculation: The given equation can also be written as y = x − 4 x = 1 − 4 x − 1 Here, let us first find the first derivative of the given equation. The first derivative if y ' = ( 1 − 4 x − 1 ) ' = 0 − 4 × − 1 × x − 1 − 1 = 4 x − 2 . Now, we know that the second derivative is the derivative of the first derivative

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 3.5, Problem 13E

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The second and third derivatives of the given equation

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Chapter 3.5, Problem 12E

Chapter 3.5, Problem 14E

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Chapter 3 Solutions

Calculus - Standalone book

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The second and third derivatives of the given equation

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