Question

How do you differentiate `arctan(x/2)`?

Answer 1

`2/(x^2+4)`

Explanation:

`arctan(x/2)=tan^-1(x/2)` the derivative of `tan^-1(x/2)=1/(1+(x/2)^2)=1/(1+x^2/4)1/2=1/2(4/(4+x^2))=2/(4+x^2`