JEE Math Practice Question
The function $$f(x)=x \mathrm{e}^{x(1-x)}, x \in \mathbb{R}$$, is :
- A.increasing in $$\left(-\frac{1}{2}, 1\right)$$
- B.decreasing in $$\left(\frac{1}{2}, 2\right)$$
- C.increasing in $$\left(-1,-\frac{1}{2}\right)$$
- D.decreasing in $$\left(-\frac{1}{2}, \frac{1}{2}\right)$$
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