Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the function f(x) = 4/(x-6). This function has two citical numbers A< B
Then A =
and B .
For each of the following intervals, tell whether f(x) is increasing or decreasing.
(-00, A]: ?
[4, B]: ?
[B, 00) ?
The critical number A is ?
+ and the critical number B is ?
There are two numbers C < D where either f"(x) = 0 or f"(æ) is undefined.
Then C =
and D
%3D
Finally for each of the following intervals, tell whether f(x) is. concave up or concave down.
(-00, C): ?
(C, D) ?
(D, 00) ?
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Transcribed Image Text:Consider the function f(x) = 4/(x-6). This function has two citical numbers A< B Then A = and B . For each of the following intervals, tell whether f(x) is increasing or decreasing. (-00, A]: ? [4, B]: ? [B, 00) ? The critical number A is ? + and the critical number B is ? There are two numbers C < D where either f"(x) = 0 or f"(æ) is undefined. Then C = and D %3D Finally for each of the following intervals, tell whether f(x) is. concave up or concave down. (-00, C): ? (C, D) ? (D, 00) ?
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