Question

How do you differentiate `f(x)= x/(x^2+1)`?

Answer 1

`{1-x^2}/(1+x^2)^2`

Explanation:

`={(1+x^2)d/dx (x) - x d/dx (x^2+1)}/(1+x^2)^2`

`={1+x^2-x(2x)}/(1+x^2)^2`

`={1-x^2}/(1+x^2)^2`