1. ## Differentiate (ln x)^3

The problem I am having is that ln x is all cubed and i dont know how to attack this problem properly. So this is not equal to ln x^3 which would differentiate to 3 ln x. So Thanks Looking forward for a reply.

2. well you would take the 3(from the exponent) and multiply it with the original function to 1 less exponent. And then multiply this by the derivitive of lnx...

So it would look like 3((lnx)^2)(1/x)

3. First use the chain rule to get:

$\tfrac{d}{dx}(\ln x)^3 = 3(\ln x)^2 \cdot \tfrac{d}{dx}\ln x$

Then you should be able to derivate the ln x and get your answer.

Think of these questions like an onion. You have to peel away the outside of them before you can derivate what's inside the brackets.