JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 31
question_answer
Let \[f(x)=\left\{ \begin{matrix} x(x-1){{e}^{2x}}, & if\,\,x\le 0 \\ x(1-x){{e}^{-2x}}, & if\,\,x>0 \\ \end{matrix} \right.\] . Then \[f(x)\] attains its greatest value at _____.