Can someone give me a hint with this problem?
The problem is:
(tan x)^(arctan x)
I was trying to use:
Dx (a)^u = (a)^u * ln(a) * Dx u
I am getting:
(tan)^(arctan x) * ln(tanx) * 1/(1+x^2)
The answer in the back of my book is:
(tan)^(arctan x) * [arctan(x)cot(x)sec^2(x) + ln(tanx)/(1+x^2)
I am messing up with the chain rule somewhere I think =(.
Again just a hint will do! Thanks!!!