The maximum value of the function is

Options

A. e
B. `(2)/(e^(e ))`
C. `e^(1/e)`
D. `(1)/(e )`

Answer

C

Explanation

`f(x)=((1)/(x))^(2x^(2)`
`f(e^(-1/2))=(e^(1/2))^(2xe^(-1))`
`=(e^(1/2)^(2))/(e )=e^(1/2xx(2))/(e )=e^(1//e)`