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12. Use the given graph of f'(x) to determine the following: Estimate values as necessary. 5 10 0 -5 a. On what intervals is the function f increasing? b. On what intervals is the function f decreasing? c. At what values of x does f have a local maximum? d. At what values of x does f have a local minimum?

12. Use the given graph of f'(x) to determine the following: Estimate values as necessary. 5 10 0 -5 a. On what intervals is the function f increasing? b. On what intervals is the function f decreasing? c. At what values of x does f have a local maximum? d. At what values of x does f have a local minimum?

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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12. Use the given graph of f'(x) to determine the following: Estimate values as necessary. 5 10 -5 a. On what intervals is the function f increasing? b. On what intervals is the function f decreasing? c. At what values of x does f have a local maximum? d. At what values of x does f have a local minimum? e. On what intervals is the function f concave up? f. On what intervals is the function f concave down? g. State the x coordinate(s) of point(s) of inflection.
Transcribed Image Text:12. Use the given graph of f'(x) to determine the following: Estimate values as necessary. 5 10 -5 a. On what intervals is the function f increasing? b. On what intervals is the function f decreasing? c. At what values of x does f have a local maximum? d. At what values of x does f have a local minimum? e. On what intervals is the function f concave up? f. On what intervals is the function f concave down? g. State the x coordinate(s) of point(s) of inflection.
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