Question

given that x and y satisfy the equation x^3+x^2y-xy^2+y^3=0, use implicit differentiation to find dy/dx

Answer 1

\[x^3 + x^2y - xy^2 + y^3 = 0\]you need to use the product rule for x^2y and xy^2\[3x^2 + 2xy + x^2 y' - y^2 - 2xyy' + 3y^2y' = 0\]and then solve for y'

Answer 2

thank you