NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞o and '-INF' for -0. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) X⁹ 9x a) Find the critical numbers of f. (1.-8)U(-1,8) (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: (-INF-1) U (1,INF) f is decreasing on: (-1,1) c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at a (-1,8) (Separate multiple answers by commas.) Relative minima occur at x = (1,-8) (Separate multiple answers by commas.)
NOTE: When using interval notation in WeBWork, remember that: You use 'INF' for ∞o and '-INF' for -0. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) X⁹ 9x a) Find the critical numbers of f. (1.-8)U(-1,8) (Separate multiple answers by commas.) b) Determine the intervals on which f is increasing and decreasing. f is increasing on: (-INF-1) U (1,INF) f is decreasing on: (-1,1) c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at a (-1,8) (Separate multiple answers by commas.) Relative minima occur at x = (1,-8) (Separate multiple answers by commas.)
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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Transcribed Image Text:NOTE: When using interval notation in WeBWork, remember that:
You use 'INF' for ∞o and '-INF' for -∞
And use 'U' for the union symbol.
Enter DNE if an answer does not exist.
f(x) = x² - 9x
a) Find the critical numbers of f. (1,-8)U(-1,8)
(Separate multiple answers by commas.)
b) Determine the intervals on which f is increasing and decreasing.
f is increasing on: (-INF.-1) U (1,INF)
f is decreasing on:
(-1,1)
c) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither.
Relative maxima occur at a =
(-1.8)
(Separate multiple answers by commas.)
Relative minima occur at x =
(Separate multiple answers by commas.)
(1.-8)
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