If \[f(x)=x{{e}^{x(1-x)}}\], then \[f(x)\] is [IIT Screening 2001]

Increasing on \[\left[ -\frac{1}{2},\,1 \right]\]

Decreasing on \[\left[ -\frac{1}{2},1 \right]\]

If \[f(x)=x{{e}^{x(1-x)}}\], then \[f(x)\] is

1.	If \[f(x)=x{{e}^{x(1-x)}}\], then \[f(x)\] is [IIT Screening 2001]
A.	Increasing on \[\left[ -\frac{1}{2},\,1 \right]\]
B.	Decreasing on R
C.	Increasing on R
D.	Decreasing on \[\left[ -\frac{1}{2},1 \right]\]
Answer» B. Decreasing on R

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