Explanation Given: The given problem is p ( x ) = x 2 cos x . Concept Used: d d x x n = n x n − 1 product rule of differentiation formula d d x ( u v ) = v d d x u + u d d x v Differentiation formula of some trigonometric function d d x ( sin x ) = cos x , d d x ( cos x ) = − sin x Calculation: To find differentiation of function p ( x ) = x 2 cos x . Differentiate both side of the equation with respect to x as p ( x ) = x 2 cos x d d x ( p ( x ) ) =

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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Chapter 3.3, Problem 9PS

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To differentiate p(x)=x2cosx .

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Chapter 3.3, Problem 8PS

Chapter 3.3, Problem 10PS

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Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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To differentiate p ( x ) = x 2 cos x .

Solution Summary: The author explains the product rule of differentiation formula for a trigonometric function.

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To differentiate p(x)=x2cosx .

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Chapter 3 Solutions