Question $10$

Using implicit differentiation, find the derivative of the function. Simplify your answer where possible.

$x^2\sqrt[\phantom{2}]{y}8x{y}^3=5x^2$

$\frac{dy}{dx}=\frac{10x-2x\sqrt[\phantom{2}]{y}-8y^3}{\frac{1}{2}{x}^2{y}^{-\frac{1}{2}}24x{y}^2}$