Question

Favor responder a derivada:
y=5x /1+x^2

Answer 1

$y=\frac{5x}{1+x^2} \\ \\ y'=\frac{5(1+x^2)-5x(2x)}{(1+x^2)^2} \\ \\ y'=\frac{5+5x^2-10x^2}{(1+x^2)^2} \\ \\ \boxed{y'=\frac{5-5x^2}{(1+x^2)^2}}$