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Chapter 3: Q. 23 (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

01

Step 1. Given

The given information is

02

Step 2. Explanation

From the above graph, f'>0 at (-2,0) and (2,鈭�): the function is increasing from (-2,0) and (2,鈭�): the graph <0 at (-0,-2) and (0,2) where the function is

decreasing.

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Most popular questions from this chapter

Determine whether or not each function fsatisfies the hypotheses of the Mean Value Theorem on the given interval [a,b]. For those that do, use derivatives and algebra to find the exact values of all c鈭�(a,b)that satisfy the conclusion of the Mean Value Theorem.

f(x)=tanx,[a,b]=[-蟺,蟺].

Explain the difference between two antiderivatives of the function.

Find the critical points of 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.

fx=21-Inx

For the graph of f in the given figure, approximate all the values x 鈭� (0, 4) for which the derivative of f is zero or does not exist. Indicate whether f has a local maximum, minimum, or neither at each of these critical points.

Use the first derivative test to determine the local extrema of each function in Exercises 39- 50. Then verify your algebraic answers with graphs from a calculator or graphing utility.

f(x)=(x-2)2(1+x)
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