Explanation Given information: The given equation is, x 2 − 4 x y − y 2 = 12 Formula used: The formula to calculate the differential of a function h ( x ) = [ g ( x ) ] n by General Power Rule is, h ′ ( x ) = n [ g ( x ) ] n − 1 ⋅ g ′ ( x ) The formula to calculate the differential of a function h ( x ) = [ g ( x ) f ( x ) ] by Product Rule is, h ′ ( x ) = f ( x ) g ′ ( x ) + f ′ ( x ) g ( x ) Calculation: The given function is, x 2 − 4 x y − y 2 = 12 (1) Differentiate equation (1) with respect to x on both sides to evaluate d y d x

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 3, Problem 41RE

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To find: The derivative of given equation.

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Chapter 3, Problem 40RE

Chapter 3, Problem 42RE

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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The derivative of given equation.

Solution Summary: The author explains the derivative of the given equation. The formula to calculate the differential of a function is, x2-4xy-y2.

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To find: The derivative of given equation.

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Chapter 3 Solutions