The function f is given by f(x) = -1-e-. What is the equation of the line tangent to the graph of f when the slope of the tangent line is equal to 5?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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The function f is given by f(x) =
tangent to the graph of f when the slope of the tangent line is equal to 5?
-1- e. What is the equation of the line
Transcribed Image Text:The function f is given by f(x) = tangent to the graph of f when the slope of the tangent line is equal to 5? -1- e. What is the equation of the line
Expert Solution
Step 1

Given data:

The given function is f(x)= -1- e-x.

The slope of the tangent line is f'(x)=5.

The expression for the derivative of the given function is,

f'(x)=ddxf(x)

Substitute the given function in the above expression.

f'(x)=ddx-1-e-x=ddx-1-ddxe-x=0--e-x=e-x

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