Explanation Given information: The function y = x 2 e − x . Concept and Formula Used: Chain rule of derivative. d d x ( x n ) = n x n − 1 , d d x ( e x ) = e x Product rule: d d x ( u . v ) = u d d x v + v d d x u . Calculation: It is given that y = x 2 e − x Differentiate wrt x using Product rule: d d x ( u . v ) = u d d x v + v d d x u d y d x = x 2 d d x e − x + e − x d d x x 2 Using Chain rule&

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Differential Equations

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Chapter 3, Problem 20PE

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To Calculate: dydx for the funciton y=x2e−x.

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Chapter 3, Problem 19PE

Chapter 3, Problem 21PE

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Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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d y d x for the funciton y = x 2 e − x .

Solution Summary: The author explains how to calculate the function y=x2e-sqrt

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To Calculate: dydx for the funciton y=x2e−x.

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Chapter 3 Solutions