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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Differentiate.

f(x) = x2 sin x

To determine

To find: The differentiation of f(x)=x2sinx.

Explanation

Given:

The function is, f(x)=x2sinx.

Formula used:

Product Rule:

The product rule for two functions f1(x) and f2(x) is given as follows.

ddx[f1(x)f2(x)]=f1(x)ddx[f2(x)]+f2(x)ddx[f1(x)] (1)

Power Rule:

If n is a real number, then the power rule is,

ddx(xn)=nxn1 (2)

Calculation:

Substitute x2 for f1(x) and sinx for f2(x) in equation (1)

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