Implicit Differentiation ~ Calculus

$$\frac{2x}{y}$$  

$$\frac{x}{3y}$$  

$$\frac{3y}{2x}$$  

$$\frac{2x}{3y}$$  

$$-\ \frac{2x}{1+3y^2}$$  

$$-\frac{x+3y^2}{2x+y}$$  

$$-\frac{2x+y}{x+3y^2}$$  

$$-\frac{2x}{x+3y^2}$$  

$$\frac{dy}{dx}=\frac{-12x^3y^5-8xy^3}{15x^4y^4+12x^2y^2}$$  

$$\frac{dy}{dx}=\frac{12x^3y^5+8xy^3}{15x^4y^4+12x^2y^2}$$  

$$\frac{dy}{dx}=\frac{-24x^4y^6-12xy^2}{15x^5y^3+12x^3y^3}$$  

$$\frac{dy}{dx}=\frac{24x^4y^6+12xy^2}{15x^5y^3-12x^3y^3}$$  

$$y'\ =\ \frac{3}{\csc^2\left(y\right)}$$  

$$y'\ =\ \frac{3}{\sec^2\left(y\right)}$$  

y' = 3cos(y)cot(y)

y' = $$\frac{3}{1+9y^2}$$  

A

B

C

D

-4/7

12

-9

9