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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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Differentiating Exponential Functions In Exercises 35-40, find the derivative of the function.

y = 5 1 + e 2 x

To determine

To calculate: The derivative of the function y=51+e2x.

Explanation

Given Information:

The provided function is y=51+e2x.

Formula used:

The negative exponent rule is given by,

bn=1bn

If the function is f(x)=xa, then the power rule of the derivative of the function is given by.

f(x)=axa1

Calculation:

Consider the function, y=51+e2x

Simplify the expression by applying negative exponent rule.

y=5(1+e2x)1

Simplify the expression by applying power rule.

y=ddx5(1+e2x)1=5dd

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