Use the graph of f(x) to answer the following questions. a. For what x interval(s) is f '(x) positive? ... (Type your answer in interval notation. Use a comma to separate answers as needed.) b. For what x intervals(s) is f '(x) negative? (Type your answer in interval notation. Use a comma to separate answers as needed.) c. For what x-value(s) is f '(x) zero? (Use a comma to separate answers as needed.) d. Which has a value closest to 1, f '(7) or f '(-7)? O f'(-7) f'(7) AY
Use the graph of f(x) to answer the following questions. a. For what x interval(s) is f '(x) positive? ... (Type your answer in interval notation. Use a comma to separate answers as needed.) b. For what x intervals(s) is f '(x) negative? (Type your answer in interval notation. Use a comma to separate answers as needed.) c. For what x-value(s) is f '(x) zero? (Use a comma to separate answers as needed.) d. Which has a value closest to 1, f '(7) or f '(-7)? O f'(-7) f'(7) AY
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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Question
Transcribed Image Text:Use the graph of f(x) to answer the following questions.
a. For what x interval(s) is f '(x) positive?
(Type your answer in interval notation. Use a comma to separate answers as needed.)
b. For what x intervals(s) is f '(x) negative?
(Type your answer in interval notation. Use a comma to separate answers as needed.)
c. For what x-value(s) is f '(x) zero?
(Use a comma to separate answers as needed.)
d. Which has a value closest to 1, f '(7) or f '(-7)?
f'(-7)
f'(7)
Expert Solution
Step 1
Here, in the graph each length of the side of each small square is 7.
a. Here we need to say the x interval(s) where f'(x) is positive.
We know f'(x) is positive where the function is strictly increasing.
In the graph we can clearly see that, f(x) increases after y axis(x=0 line) and increases till x=14 line.
For strictly increasing we get the x interval (0,14) for which f'(x) is positive.
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