   Chapter 11.1, Problem 118E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Sketch the graph of a function that has a tangent line at each of its points but whose derivative is undefined at exactly two points.

To determine

To graph: The function whose derivative is undefined at exactly 2 points and has tangent line at each of its points.

Explanation

Given Information:

The function whose derivative is undefined at exactly 2 points and has tangent line at each of its points.

Graph:

Consider the function, f(x)=(x21)25

Draw the graph to the function as follows:

To draw the graph of the equation first find some ordered pairs.

Compute the value of f(x) at x=2 by substituting x=2 in f(x)=(x21)25:

f(2)=[(2)21]25=3251.552

Compute the value of f(x) at x=0 by substituting x=0 in the equation f(x)=(x21)25,

f(0)=(021)25=(1)25=1

Compute the value of f(

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