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Chapter 3: Q. 26 (page 261)

Find the possibility graph of its derivative f'.

Short Answer

Expert verified

The possibility graph of its derivative f' is

Step by step solution

Step 1. Given

The given information is

Step 2. Calculation

From the above graph, f'>0 at (-3.3,2.2); the function is increasing from (-3.3,2.2).

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Most popular questions from this chapter

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 $f, f', a n d f'',$ and examine any relevant limits so that you can describe all key points and behaviors of f.

$f (x) = {(1 - x)}^{4} - 2$

Use a sign chart for $f^{'}$ to determine the intervals on which each function $f$ is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.

$f (x) = \frac{e^{x}}{1 + e^{x}}$

Prove that the function is increasing on all values of real numbers.

$f (x) = x^{3}$ .

Use a sign chart for $f^{'}$ to determine the intervals on which each function $f$ is increasing or decreasing. Then verify your algebraic answers with graphs from a calculator or graphing utility.

$f (x) = e^{x} (x - 2)$

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

graph of f.

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Find the possibility graph of its derivative f'.

Short Answer

Step by step solution

Step 1. Given

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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