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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Differentiate.

f(x) = ex cos x

To determine

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

Explanation

Given:

The function is f(x)=excosx.

Formula used:

The Product Rule:

If f1(x) and f2(x) are both differentiable functions, then the product rule is,

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

Calculation:

Apply product rule as shown in equation (1).

Substitute ex for f1(x) and cosx for f2(x) in equation (1)

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