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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

Find the derivative. Simplify where possible.

30. (x) = ex cosh x

To determine

To find: The derivative of the function.

Explanation

Given:

The function f(x)=excoshx.

Derivative rules:

(1) The product rule: ddx(f+g)=fddx(g)+gddx(f).

(2) The derivative of the hyperbolic cosine function is, ddx(coshx)=sinhx.

Calculation:

The derivative of the function f(x)=excoshx is computed as follows,

f(x)=ddx(excoshx)

Apply the product rule and simplify the terms,

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