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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(t) = tet cot t

To determine

To find: The differentiation of f(t)=tetcott.

Explanation

Given:

The function is f(t)=tetcott.

Formula used:

Product Rule:

If f1(t) and f2(t) are both differentiable function, then the product rule is,

ddt[f1(t)f2(t)]=f1(t)ddt[f2(t)]+f2(t)ddt[f1(t)] (1)

Calculation:

Apply the product rule as shown in equation (1).

Substitute tet for f1(t) and cott for f2(t) in equation (1).

ddt[tetcott]=tetddt[cott]+cottddt[tet]

Apply the product rule as shown in equation (1)

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