Write the minimum value of 
(
) = 
x.
Let y=
x. Take antilog on both sides
ln y =x × ln x.
Let us differentiate and find 
’(
)=0
⇒ f’(x)=x x
× (ln x + 1)
f’(x) =0
But ln x is not defined at x =0
Therefore, minima occur at 
. So, 
1
Write the minimum value of () = x.
Let y= x. Take antilog on both sides
ln y =x × ln x.Let us differentiate and find ’()=0
⇒ f’(x)=x x× (ln x + 1)
f’(x) =0
But ln x is not defined at x =0
Therefore, minima occur at . So,