below. nowing question about the functions whose derivatives are given What are the critical points of f ? On what open intervals is f increasing or decreasing? At what points, if any, does f assume local maximum and minimum values?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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8. Answer the following questions about the functions whose derivatives are given
below.
i.
ii.
111.
What are the critical points of f ?
On what open intervals is f increasing or decreasing?
At what points, if any, does f assume local maximum and minimum values?
e. f'(x) = 1-2, x = 0
f.
f'(x) = x-¹/3(x + 2)
g. f'(x) = (sin x - 1)(2cos x + 1),0 ≤ x ≤ 2π
Transcribed Image Text:8. Answer the following questions about the functions whose derivatives are given below. i. ii. 111. What are the critical points of f ? On what open intervals is f increasing or decreasing? At what points, if any, does f assume local maximum and minimum values? e. f'(x) = 1-2, x = 0 f. f'(x) = x-¹/3(x + 2) g. f'(x) = (sin x - 1)(2cos x + 1),0 ≤ x ≤ 2π
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