8. Answer the following questions about the functions whose derivatives are given below. 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? a. f'(x) = x(x - 1) i. ii. 111.
8. Answer the following questions about the functions whose derivatives are given below. 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? a. f'(x) = x(x - 1) i. ii. 111.
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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can you explain how i would find the following 3 points about the function and alos give me the answer. most importantly i need explanation to answer for step I, II , III the function .thanks
Transcribed Image Text:8. Answer the following questions about the functions whose derivatives are given
below.
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?
a. f'(x) = x(x - 1)
i.
ii.
111.
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...himur
4
f'(x) = 1 -2, x ±0
-2,2
1
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