Explanation Given Information: The provided equation is: y = − 4 x 2 Formula used: According to the chain rule, if f and g are differentiable functions with y = f ( u ) and u = g ( x ) , then y is a differentiable function of x and: d y d x = d y d u ⋅ d u d x Calculation: Consider the provided equation: y = − 4 x 2 Now, differentiate both sides with respect to t to get: d d t ( y ) = d d t ( − 4 x 2 ) Now, use the chain rule: d y d x = d y d u ⋅ d u d x

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ISBN: 8220100546235

Author: Reynolds

Publisher: CENGAGE L

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Chapter 11.4, Problem 11E

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To calculate: The rate of change of y at x=5 for the point that is moving along the graph of the equation y=−4x2 with rate of 2units/sec.

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Chapter 11.4, Problem 10E

Chapter 11.4, Problem 12E

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Chapter 11 Solutions

EBK MATHEMATICAL APPLICATIONS FOR THE M

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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The rate of change of y at x = 5 for the point that is moving along the graph of the equation y = − 4 x 2 with rate of 2 units/sec .

Solution Summary: The author calculates the rate of change of y at x=5 for the point that is moving along the graph of the equation.

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To calculate: The rate of change of y at x=5 for the point that is moving along the graph of the equation y=−4x2 with rate of 2units/sec.

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Chapter 11 Solutions