Explanation Given information: The given function is g ( x ) = sin ( − 2 x ) cos 5 x . Formula used: 1) d d x [ sin g ( x ) ] = [ cos g ( x ) ] d d x g ( x ) 2) d d x [ cos g ( x ) ] = [ − sin g ( x ) ] d d x g ( x ) 3) sin ( − x ) = − sin ( x ) 4) cos ( − x ) = cos ( x ) Calculation: Differentiate g ( x ) = sin ( − 2 x ) cos 5 x by using the product rule d g d x = d d x [ x 3 ⋅ sin x ] = sin ( − 2 x ) d d x [ cos 5 x ] + cos 5 x d d x [ sin ( − 2 x ) ] g

15th Edition

ISBN: 9780137638826

Author: Goldstein

Publisher: PEARSON

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Chapter 8, Problem 24RE

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To calculate: The derivative of g(x)=sin(−2x)cos5x.

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Chapter 8, Problem 23RE

Chapter 8, Problem 25RE

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Chapter 8 Solutions

CALCULUS+ITS APPL.,BRIEF-MYLAB MATH

Ch. 8.1 - A right triangle has one angle of /3 radians. What...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Give the radian measure of each angle described.Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

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The derivative of g ( x ) = sin ( − 2 x ) cos 5 x .

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Chapter 8 Solutions