Let f(x) = 2(x – 6)²/3 + 4. | (A) Find all critical values and list them below. Note: If there are no critical values, ente 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-INF' for –∞, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f. If there are no local maxima, enter 'NONE'. æ values of local maximums = (E) List the x values of all local minima of f. If there are no local minima, enter 'NONE x values of local minimums =

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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Let
f(x) = 2(x – 6)²/3 + 4.
(A) Find all critical values and list them below. Note: If there are no critical values, enter
'NONE'.
(B) Use interval notation to indicate where f(x) is increasing.
Note: Use 'INF' for oo, '-INF' for -0, and use 'U' for the union symbol.
Increasing:
(C) Use interval notation to indicate where f(x) is decreasing.
Decreasing:
(D) List the x values of all local maxima of f. If there are no local maxima, enter
'NONE'.
æ values of local maximums =
(E) List the x values of all local minima of f. If there are no local minima, enter 'NONE'.
x values of local minimums =
Transcribed Image Text:Let f(x) = 2(x – 6)²/3 + 4. (A) Find all critical values and list them below. Note: If there are no critical values, enter 'NONE'. (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for oo, '-INF' for -0, and use 'U' for the union symbol. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f. If there are no local maxima, enter 'NONE'. æ values of local maximums = (E) List the x values of all local minima of f. If there are no local minima, enter 'NONE'. x values of local minimums =
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