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Chapter 3: Q. 22 (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

Step 1. Given

The given information is

Step 2. Explanation

From the above graph the function is decreasing on (- ∞, 0) : where f' <0 and increasing at (0, ∞) where f' >0 . Therefore, the possible graph of the derivative of above graph is shown below.

The graph of f' have roots at x = 0 and x = 2 . The graph off should "bounce" off the x

axis at x = 2

Comment

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Most popular questions from this chapter

Restate Rolle’s Theorem so that its conclusion has to do with tangent lines.

Find the possibility graph of its derivative 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 $f, f', a n d f'',$ and examine any relevant limits so that you can describe all key points and behaviors of f.

$f (x) = {(\ln x)}^{2} + 1$

Find the critical points of each function f .Then use a graphing utility to determine whether f has a local minimum, a local maximum, or neither at each of these critical points .

$f (x) = \frac{I n 2 x}{x}$

Find the relationship between between the functions $g (x) + 10 and f (x)$ .

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Find the possibility graph of its derivative f'.

Short Answer

Step by step solution

Step 1. Given

Step 2. Explanation

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Most popular questions from this chapter

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