The function f(x) = (x + 2) e -x is

MHT CET 2022 Mathematics question

The function f(x) = (x + 2) e<sup>-x</sup> is

(A)monotonically decreasing in (-1, ) and monotonically increasing in (-, -1)Correct
(B)decreasing for all
(C)increasing for all
(D)decreasing in (-, -1) and increasing in (-1, )

Answer: (A)

. Since , the sign of is the sign of . For : , so is decreasing in . For : $f'(x) >

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Question ID VK-094009