Natural log problem

Differentiate: h(t)= ln((t^2+1)/(t+1))

I'm having some trouble with this one. Not sure if I am doing too much work for it.

Also this one: y= x^x^2

Do I have to use logarithmic differentiaton for the second?

For the second one, another option besides logarithmic differentiation is exponential differentiation:



Now use the exponential, chain and product rules to find the derivative.

would you be able to show me how to differentiate it logarithmically?

We are given to differentiate:



Take the natural log. of both sides:



Now, implicitly differentiate both sides with respect to . I don't want to just work out the whole thing, but I will help guide you if you get stuck.