Question

Is the derivative of tan^-1 (x^2 + 2) =
1/(1+(x^2 +2)^2) • 2x ?

Answer 1

y=arcTg(x²+2)->Tg(y)=x²+2
->y'*sec²(y)=2*x->
->y'=2x/(sec²(y))->y'=2x/(1+tg²(y))=2x/(1+(x²+2)²)

Answer 2

@DurableToaster