Question

What is the derivative of `y= tan^-1(x^2)`?

Answer 1

The derivative of `arctanf(x)` is

`d(arctanf(x))/dx=(f'(x))/(1+(f(x))^2)`

where `f(x)=x^2` hence

`d(arctanx^2)/dx=(2x)/(1+(x^4))`