Explanation Given Information: The provided equation is, ( x + y ) 2 = 5 x 4 y 3 . Formula used: When y is an implied function of x , obtain d y d x by differentiating both sides of the equation with respect to x and then algebraically solve for d y d x . According to the product rule of derivatives: d d x ( u ⋅ v ) = u d v d x + v d u d x 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 , d y d x = d y d u ⋅ d u d x Calculation: Consider the provided equation, ( x + y ) 2 = 5 x 4 y 3 First, take the derivative of both sides of the equation with respect to x as: d d x ( ( x + y ) 2 ) = d d x ( 5 x 4 y 3 ) Now use the product rule of derivatives, d d x ( u ⋅ v ) = u d v d x + v d u d x To obtain the derivative of x 4 y 3

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 11.3, Problem 20E

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To calculate: The value of dydx for the provided equation (x+y)2=5x4y3.

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Chapter 11.3, Problem 19E

Chapter 11.3, Problem 21E

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Chapter 11 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

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 value of d y d x for the provided equation ( x + y ) 2 = 5 x 4 y 3 .

Solution Summary: The author explains how to calculate the value of dx for the provided equation.

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To calculate: The value of dydx for the provided equation (x+y)2=5x4y3.

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Chapter 11 Solutions