derivative

Question

x^2+xy^2+y^3=2cot y

Answer 1

Differentiate both sides with respect to x implicitly,

2x+y^2+2xyy'+3y^2y' = -2csc^2y y'

Solve for y',

y' = -(2x+y^2)/(2xy+3y^2+2csc^2y) <==Answer