Explanation Given: The equation of the graph is, y = x e − x (1) The point on the curve is ( 1 , e − 1 ) . Calculation: Differentiate equation (1) on both sides with respect to x , d y d x = d d x x e − x = x d d x ( e − x ) + e − x d d x ( x ) [ ∵ d d x e − x = − e − x ] = − x e − x + e − x = e − x ( 1 − x ) Substitute 1 for x in the above equation for the slope of the line

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 5, Problem 40RE

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To find: The equation of the tangents line to the graph of y=xe−x .

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Chapter 5, Problem 39RE

Chapter 5, Problem 41RE

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Find the equation of the tangent line to the graph of x3 + y3 – 3xy = 0 at the point ).

Chapter 5 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 5.1 - Prob. 1CQ Ch. 5.1 - Prob. 2CQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E

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Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - find the derivative of the function. 28...Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 55E Ch. 5.5 - Prob. 56E Ch. 5.5 - Prob. 57E Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - Prob. 65E Ch. 5.5 - Prob. 66E Ch. 5.5 - Prob. 67E Ch. 5.5 - Prob. 68E Ch. 5.5 - Prob. 69E Ch. 5.5 - Prob. 70E Ch. 5.5 - Prob. 71E Ch. 5.5 - Prob. 72E Ch. 5.5 - 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Prob. 17E Ch. 5.6 - Prob. 18E Ch. 5.6 - DEMAND FOR COMPUTERS Universal Instruments found...Ch. 5.6 - Prob. 20E Ch. 5.6 - Prob. 21E Ch. 5.6 - Prob. 22E Ch. 5.6 - GROWTH OF A FRUIT FLY POPULATION On the basis of...Ch. 5.6 - Prob. 24E Ch. 5.6 - Prob. 25E Ch. 5.6 - Prob. 26E Ch. 5.6 - Prob. 27E Ch. 5.6 - Prob. 28E Ch. 5.6 - Prob. 29E Ch. 5.6 - Prob. 30E Ch. 5.6 - Prob. 31E Ch. 5.6 - Prob. 32E Ch. 5.6 - Prob. 33E Ch. 5.6 - Prob. 34E Ch. 5.6 - Prob. 35E Ch. 5.6 - Prob. 36E Ch. 5.6 - Prob. 37E Ch. 5.6 - Prob. 38E Ch. 5.6 - Prob. 1TE Ch. 5.6 - Prob. 2TE Ch. 5.6 - Prob. 3TE Ch. 5.6 - Prob. 4TE Ch. 5.6 - Prob. 5TE Ch. 5.6 - Prob. 6TE Ch. 5.6 - Prob. 7TE Ch. 5.6 - Prob. 8TE Ch. 5 - Prob. 1CRQ Ch. 5 - Prob. 2CRQ Ch. 5 - Prob. 3CRQ Ch. 5 - Prob. 4CRQ Ch. 5 - Prob. 5CRQ Ch. 5 - Prob. 6CRQ Ch. 5 - Prob. 7CRQ Ch. 5 - Prob. 8CRQ Ch. 5 - Prob. 9CRQ Ch. 5 - Prob. 10CRQ Ch. 5 - Prob. 1RE Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - 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The equation of the tangents line to the graph of y = x e − x .

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Chapter 5 Solutions