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Let f(x)=x^2.e^(-x^2) then which one is ...

Let `f(x)=x^2.e^(-x^2)` then which one is incorrect? (A) `f(x)` has local maxima at `x=-1` and `x=1` (B) `f(x)` has local minima at `x=0` (C) `f(x)` is strictly decreasing on `x in R` (D) Range of `f(x)` is `[0. 1/e]`,

A

max f(x) =`e^(-1)`

B

max `f(x) = 4e^(-2)`

C

min `f(x) = e^(-1)`

D

min `f(x) gt 0`

Text Solution

Verified by Experts

The correct Answer is:
B
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