4. Applications of Derivatives

Find $dy/dx$ for the equation below using implicit differentiation.

$3\(\sqrt{y}\)=x-y$

Find $dy/dx$ for the equation below using implicit differentiation.

$xy=\(\sin\]\left\)(y\(\right\))$

Given the equation $x{e}^y=x-y$, find $\frac{dy}{dx}$ using implicit differentiation.

Given that $3x-tany=4$, what is $\frac{dy}{dx}$ in terms of $y$?

Find $dy/dx$ for the equation below using implicit differentiation.

$5x^2+y^3=12$