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Find the critical points, domain endpoints, and local extreme values for the function. x² - 6x +9, -x² + 4x-1, y= x≤1 X>1

Find the critical points, domain endpoints, and local extreme values for the function. x² - 6x +9, -x² + 4x-1, y= x≤1 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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Find the critical points, domain endpoints, and local extreme values for the function. -x² - 6x +9, x≤ 1 -x² + 4x-1, X>1 y= What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) or domain endpoint(s) where f' is undefined is/are at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There are no critical points or domain endpoints where f' is undefined.
Transcribed Image Text:Find the critical points, domain endpoints, and local extreme values for the function. -x² - 6x +9, x≤ 1 -x² + 4x-1, X>1 y= What is/are the critical point(s) or domain endpoint(s) where f' is undefined? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical point(s) or domain endpoint(s) where f' is undefined is/are at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OB. There are no critical points or domain endpoints where f' is undefined.
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