Найдите производную 1/x^2+1

Question

Найдите производную 1/x^2+1

Comments

1/(x^2+1)

Answer 1

Y = 1/(x^2 + 1) = (x^2 + 1)^(-1)

y ' = - 1 * (x^2 + 1)^ (-2) * (x^2 + 1) ' =
= - (x^ 2 + 1)^( -2) * 2x = - 2x/ (x^2 + 1)^2