   Chapter 11, Problem 5RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 1-12, find the derivative of each function. f ( x ) = 5 e 2 x − 40 e − 0.1 x + 11

To determine

To calculate: The derivative of the provided function f(x)=5e2x40e0.1x+11.

Explanation

Given Information:

The provided function is:

f(x)=5e2x40e0.1x+11

Formula used:

The derivatives of exponential function:

ddxef(x)=ef(x)ddxf(x)

Where f(x) is a differentiable function of x.

Calculation:

Consider the provided function:

f(x)=5e2x40e0.1x+11

Differentiate both sides with respect to x as:

ddxf(x)=ddx(5e2x)ddx(40e0

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