Calculus
# Implicit Differentiation

If $10xy=\cot(xy),$ what is $\displaystyle \frac{dy}{dx}?$

If $7\cos x \sin y=11,$ what is $\displaystyle \frac{dy}{dx}?$

If $\sin (x+3y)=y^{4}\cos x,$ what is $\frac{dy}{dx}?$

If $x^2y^2+x\sin y=13,$ what is $\displaystyle \frac{dy}{dx}?$