Question

How do you find the derivative of `(arctan x)^3`?

Answer 1

You can find it like this:

Explanation:

`f(x)=arctan^3(x)`

`(d[arctan(x)])/(dx)=1/((x^2+1))`

So you apply the chain rule:

`f'(x)=3arctan^2(x)xx1/((x^2+1))`

`f'(x)=(3arctan^2(x))/((x^2+1))`