using-implicit-differentiation-what-is-the-dydxfracdydx-of-the-function-belowx3y

Question

Using implicit differentiation, what is the $\frac{d y}{d x}$ of the function below?

$x^{3} + y^{3} = 15 x y$

Accepted Answer

$\frac{d y}{d x} = \frac{5 y - x^{2}}{y^{2} - 5 x}$

Answer

$\frac{d y}{d x} = \frac{5 y - x^{2}}{y^{2} - 5 x}$

Answer

$\frac{d y}{d x} = \frac{5 y - x^{2}}{y^{2} - 5 x}$

Answer

$\frac{d y}{d x} = \frac{5 y - x^{2}}{y^{2} - 5 x}$

Using implicit differentiation, what is the dydx\frac{dy}{dx} of the function below?x3+y3=15xyx^3+y^3=15xy