Calculus
# Implicit Differentiation

If $\frac { x ( x - 6y) } { 5 - 4 y^ 2 } = 1,$ what is $\displaystyle \frac{dy}{dx}?$

If $\frac{ 3 x ^2 + 7 xy^2 } { 8 + 5 y^3 } = 1$, what is $\displaystyle \frac{dy}{dx}?$

If $\frac{6x-y^3}{y+x^2}=x+4,$ what is $\displaystyle \frac{dy}{dx}?$