If (f(x) = x e^{x(1-x)}) then f(x) is | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If $f(x) = x e^{x(1-x)}$ then f(x) is

A

Increasing in R

B

Decreasing in R

C

Decreasing in $[-\frac{1}{2},1]$

D

Increasing in $[-\frac{1}{2},1]$

Answer

Increasing in $[-\frac{1}{2},1]$

Explanation

Solution

The correct answer is Option (D) : Increasing in $[-\frac{1}{2},1]$