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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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In Exercises 1-8, find the derivative of the function.

f ( x ) = e 2 x 1 e 2 x

To determine

To calculate: The derivative of the function f(x)=e2x1e2x.

Explanation

Given information:

The provided function is f(x)=e2x1e2x.

Formula used:

According to the product rule of differentiation, the derivative of the product of the two differentiable functions is equal to the first function with derivative of the second function plus the second function with derivative of the first function.

ddx[f(x)g(x)]=f(x)g(x)+g(x)f(x)

Calculation:

Consider the provided function is,

f(x)=e2x1e2x

Apply the product rule derivative the function, f(x)=e2x1e2x.

f(x)=(e2x)ddx(1e2x)+(1e2x)ddx(e2x)

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