Explanation Given: d x d t = 2 and y = x 3 . Calculation: Differentiate the given equation y = x 3 implicitly with respect to t. d y d t = d d t ( x 3 ) d y d t = 3 x 2 d x d t Now, substitute the given values of x and d x d t in the above equation to find the value of d y d t . When x = − 4 , d y d t = 3 ( − 4 ) 2 ( 2 ) = 3 ⋅ 16 ⋅ 2 = 96

4th Edition

ISBN: 9781319309671

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 3.10, Problem 2PQ

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The value of dydt when x=−4, 2, 6 if dxdt=2 and y=x3.

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Chapter 3.10, Problem 1PQ

Chapter 3.10, Problem 3PQ

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Chapter 3 Solutions

CALCULUS: EARLY TRANS 4TH ED W/ ACCESS

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The value of d y d t when x = − 4 , 2 , 6 if d x d t = 2 and y = x 3 .

Solution Summary: The author compares the value of dyt with the values of x and y in the above equation.

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The value of dydt when x=−4, 2, 6 if dxdt=2 and y=x3.

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Chapter 3 Solutions