# How do you differentiate #f(x)=(ln(x))^x #?

##### 2 Answers

Dec 12, 2015

Take the natural log of both sides, then use **implicit** differentiation ...

#### Explanation:

Take natural log of both sides, then use the **property of logs** :

Now, using implicit differentiation, product and chain rules ...

Finally, solve for

hope that helped

Dec 12, 2015

(IGNORE)

#### Explanation:

Rewrite

Now, to find

Find each derivative.

Plug the derivatives back in.