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Answer the following questions about the function whose derivatives are given: (a). What are the critical points? (b). On what interval f is increasing or decreasing? (c). At what points if any does f assume local maximum and local minimum values? (i): f"(x)=(x-1)° (x+ 2), (ii): g'(x) = x(x-1).

Answer the following questions about the function whose derivatives are given: (a). What are the critical points? (b). On what interval f is increasing or decreasing? (c). At what points if any does f assume local maximum and local minimum values? (i): f"(x)=(x-1)° (x+ 2), (ii): g'(x) = x(x-1).

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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Answer the following questions about the function whose derivatives are given: (a). What are the critical points? (b). On what interval f is increasing or decreasing? (c). At what points if any does f assume local maximum and local minimum values? (i): S'(x) = (x-1)° (x + 2), (ii): g'(x) = x(x -1). х —
Transcribed Image Text:Answer the following questions about the function whose derivatives are given: (a). What are the critical points? (b). On what interval f is increasing or decreasing? (c). At what points if any does f assume local maximum and local minimum values? (i): S'(x) = (x-1)° (x + 2), (ii): g'(x) = x(x -1). х —
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