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If f(x) = ex (x – 2)2 then (A) f is increasing in (-8,0) and (2,8) and decreasing in (0, 2) (B) f is increasing in (-8,0) and decreasing in (0,8) (C) f is increasing in (2,8) and decreasing in (-8,0) (D) f is increasing in (0, 2) and decreasing in (-8,0) and (2,8)

If f(x) = ex (x – 2)2 then
(A) f is increasing in (-8,0) and (2,8) and decreasing in (0, 2) (B) f is increasing in (-8,0) and decreasing in (0,8)
(C) f is increasing in (2,8) and decreasing in (-8,0)
(D) f is increasing in (0, 2) and decreasing in (-8,0) and (2,8)

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3 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
Dear student

Please attach the image of the question

Regards
Vikas TU
14149 Points
3 years ago
If f′(x) > 0, then f is increasing on the interval, and if f′(x)
Vikas TU
14149 Points
3 years ago
f’(x)  is less than 0, then f is decreasing on the interval. This and other information may be used to show a reasonably accurate sketch of the graph of the function. Example 1: For f(x) = x 4 − 8 x 2 determine all intervals where f is increasing or decreasing.

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