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Chapter 2: Q. 31 (page 166)

Each graph in Exercises 31–34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.

Short Answer

Expert verified

The graph is:

Step by step solution

01

Step 1. Given Information

We are given the associated slope function f' for some unknown function f and we need to sketch a possible graph of f.

02

Step 2. Finding the graph

The function increases from -2<x<0and decreases for x<-2and x>0.

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Most popular questions from this chapter

Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

f(x)=1-4x2(3x2+1)9

Use the definition of the derivative to find f'for each function fin Exercises 34-59

role="math" localid="1648284617718" f(x)=2x+1

Find a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra

f'(x)=1-4x6;f(1)=3

Prove the difference rule in two ways

a) using definition of the derivative

b) using sum and constant multiple rules

Find the derivative of the absolute value function and piecewise defined function

f(x)=3x+1ifx≤1x3ifx>1
See all solutions

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