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Chapter 3: Q. 19 (page 260)

Find the possibility graph of its derivative f'.

Short Answer

Expert verified

The possibility graph of its derivative f' is

Step by step solution

01

Step 1. Given 

The given information is

02

Step 2. Calculation

Observe from the above graph that the function is increasing at (0,0.5) and (2.2,3) where f'>0 and decreasing on (0.5,2.2) where f'<0.

Therefore, the possible graph of the derivative of above graph is shown below:

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Most popular questions from this chapter

For each set of sign charts in Exercises 53–62, sketch a possible

graph of f.

Sketch careful, labeled graphs of each function f in Exercises 63–82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of f,f',andf'', and examine any relevant limits so that you can describe all key points and behaviors of f.

f(x)=x2-xx2-3x+2

Find the relationship between between the functionsg(x)+10andf(x).

Sketch careful, labeled graphs of each function f in Exercises 63–82 by hand, without consulting a calculator or graphing utility. As part of your work, make sign charts for the signs, roots, and undefined points of f,f',andf'', and examine any relevant limits so that you can describe all key points and behaviors of f.

f(x)=x3+3x2

Sketch the graph of a function f with the following properties:

f is continuous and defined on R;

f(0) = 5;

f(−2) = −3 and f '(−2) = 0;

f '(1) does not exist;

f' is positive only on (−2, 1).
See all solutions

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