A) \[(-\infty ,\,\,2]\]
B) [0, 2]
C) \[[2,\,\,\infty )\]
D) None of these
Correct Answer: B
Solution :
Let \[y=f(x)={{x}^{2}}{{e}^{-x}}\] Þ \[\frac{dy}{dx}=2x{{e}^{-x}}-{{x}^{2}}{{e}^{-x}}={{e}^{-x}}(2x-{{x}^{2}})\] Hence \[f'(x)\ge 0\] for every \[{{e}^{ax}}[a\cos (bx+c)-b\sin (bx+c)]\]therefore it is non-decreasing in [0,2].You need to login to perform this action.
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