Let .
The derivative of is .
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of is .
Apply the power rule: goes to
The result is:
The result of the chain rule is:
Now simplify:
The answer is:
/ 2 \ | / 1\ | | |1 - -| | | 2 \ x/ | -|1 - - + ----------| | x 1 | | - + log(x)| \ x / ---------------------- 2 /1 \ x *|- + log(x)| \x /