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Use the graph of the function f(x) below to answer the questions that follow. Estimate values as necessary 4. 3 -2- 14 -13 -12 -11 -10 -9 -8 -7 6 5 -3-2 -1 0 4 6 7 9 10 11 12 13 14 -1- -2 4 -5 -7 -8 a. What is the sign of f'(-1)? Why? b. What is the sign of f"(6)? Why? C. For what value(s) of x does f' (x) not exist? 6. 5. 1, 3.

Use the graph of the function f(x) below to answer the questions that follow. Estimate values as necessary 4. 3 -2- 14 -13 -12 -11 -10 -9 -8 -7 6 5 -3-2 -1 0 4 6 7 9 10 11 12 13 14 -1- -2 4 -5 -7 -8 a. What is the sign of f'(-1)? Why? b. What is the sign of f"(6)? Why? C. For what value(s) of x does f' (x) not exist? 6. 5. 1, 3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the graph of the function f(x) below to answer the questions that follow. Estimate values as necessary 7- 6 -4 2- -1- 14 -13 -12-11 -10 -9 -8 -7 -6 5 4 -3-2 3 6 10 11 12 13 14 7 9 -2- -3 -4 -5- -6 --7 -8 --9- a. What is the sign of f'(-1)? Why? b. What is the sign of f"(6)? Why? c. For what value(s) of x does f' (x) not exist? d. What is the lim f(x)? x-6 e. What is the lim f(x)? x-6* f. At what value(s) of x does f'(x) = 0? g. Give one value of x where f(x) appears to have an inflection point. h. If the function g(t) is defined as: g(t) = f(x)dx -5 put the following in order from smallest to largest: g(2) g(-3) g(-5)
Transcribed Image Text:Use the graph of the function f(x) below to answer the questions that follow. Estimate values as necessary 7- 6 -4 2- -1- 14 -13 -12-11 -10 -9 -8 -7 -6 5 4 -3-2 3 6 10 11 12 13 14 7 9 -2- -3 -4 -5- -6 --7 -8 --9- a. What is the sign of f'(-1)? Why? b. What is the sign of f"(6)? Why? c. For what value(s) of x does f' (x) not exist? d. What is the lim f(x)? x-6 e. What is the lim f(x)? x-6* f. At what value(s) of x does f'(x) = 0? g. Give one value of x where f(x) appears to have an inflection point. h. If the function g(t) is defined as: g(t) = f(x)dx -5 put the following in order from smallest to largest: g(2) g(-3) g(-5)
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