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Chapter 2: Q. 34 (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

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.

Step 2. Finding the graph

The function increases from $x < - 1.9, - 0.5 < x < 0.5$ and $x > 1.9$ and decreases from $- 1.9 < x < - 0.5$ and $0.5 < x < 1.9$ .

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Most popular questions from this chapter

Prove that if f is a quadratic polynomial function $f (x) = a x^{2} + b x + c$ then the coefficient of f are completely determined by the values of f(x) and its derivatives at x=0 as follows

$a = \frac{f " (0)}{2}; b = f' (0); c = f (0)$

Use the definition of the derivative to find $f'$ for each function f in Exercises 39-54

$f (x) = - x^{3} - x + 1$

use the definition of derivative to directly prove the differentiation rules for constant and identity function

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.

$f (x) = x^{- \frac{1}{2}} {(x^{2} - 1)}^{3}$

Use the definition of the derivative to find $f'$ for each function $f$ in Exercises

$f (x) = \frac{3}{\sqrt{x}}$

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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

Step by step solution

Step 1. Given Information

Step 2. Finding the graph

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Most popular questions from this chapter

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