   Chapter 11, Problem 12RE ### 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. y = 1 + e − x 1 − e − x

To determine

To calculate: The derivative of the function y=1+ex1ex.

Explanation

Given Information:

The provided function is:

y=1+ex1ex

Formula used:

The derivative exponential function:

ddx(ex)=ex

The quotient rule of derivatives:

ddx(u(x)v(x))=v(x)ddxu(x)u(x)ddxv(x)[v(x)]2

Calculation:

Consider the provided function:

y=1+ex1ex

Differentiate both sides with respect to x as:

dydx=ddx(1+ex1ex)

Now, use the quotient rule of derivatives and derivative exponential function:

ddx(1+ex1ex)=(1ex)ddx(1<

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