The function f ( x ) = x ⋅ e x ( 1 − x ) is

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The function $f(x)=x \cdot e^{x(1-x)}$ is

MathematicsApplication of DerivativesAP EAMCETAP EAMCET 2017 (26 Apr Shift 2)

Options:

A increasing in $\left[-\frac{1}{2}, 1\right]$
B decreasing in $\left[-\frac{1}{2}, 1\right]$
C increasing in $\mathbb{R}$
D decreasing in $\mathbb{R}$

Solution:

1046 Upvotes Verified Answer

The correct answer is: increasing in $\left[-\frac{1}{2}, 1\right]$

No solution. Refer to answer key.

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