Производная. f(x)=(x+1/(x^2+3))

Question

Производная. f(x)=(x+1/(x^2+3))

Answer 1

F(x)'=(x+1)'*(x^2+3)-(x+1)*(x^2+3)'/(x^2+3)^2=
x^2+3x-(x+1)*2x/(x^2+3)^2=-x^2+x/(x^2+3)^2=
x-x^2/(x^4+6x^2+9);

Comments

Спасибо)