Найдите производную. y=cosx/1 + 2sinx

y = cos(x) / (1 + 2sin(x));
Производная приватного:
(u / v) = (uv - uv) / v^2;
y = -sin(x)(1 + 2sin(x)) - cos(x) 2cos(x)) / (1 + 2sin(x))^2 =
= (-sin(x) - 2sin^2(x) - 2cos^2(x)) / (1 + 2sin(x))^2 =
= (-sin(x) - 2) / (1 + 2sin(x))^2 = -(sin(x) - 2) / (1 + 2sin(x))^2.