Find the critical numbers of the function. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)
f(x) = x^−6 ln x

First we have to find the derivative of the function:
f ` ( x ) = ( ln x / x^6 ) ` = 
= 
The critical point is when f ` ( x ) = 0
1 - 6 ln x = 0
6 ln x = 1
ln x = 1/6

f ( e^(1/6)) = e^(-1) * 1/6 = 1 / (6 e)