Implicit Differentiation Practice Part 2

Find dy/dx if        $3x^2+6y^2+10=5x+7y$  

•  $\frac{dy}{dx}=\frac{-6x+5}{12y-7}$  

•  $\frac{dy}{dx}=\frac{-6x+5}{-12y+7}$  

•  $\frac{dy}{dx}=\frac{6x-5}{12y-7}$  

•  $\frac{dy}{dx}=\frac{-3x+5}{6y-7}$  

•  $\frac{dy}{dx}=\frac{3x-5}{6y-7}$  

Differentiate w.r.t x,

 $12x+6y^2=4x^2+10y$  

•  $\frac{dy}{dx}=\frac{2\left(2x-3\right)}{6y-5}$  

•  $\frac{dy}{dx}=\frac{-2\left(2x-3\right)}{6y-5}$  

•  $\frac{dy}{dx}=\frac{\left(2x-3\right)}{6y-5}$  

•  $\frac{dy}{dx}=\frac{-8x+12}{12y-10}$  

•  $\frac{dy}{dx}=\frac{-8x+12}{6y-5}$  

Find dy/dx if

 $y=10x^2+15y=-5y^2-40x$  

•  $\frac{dy}{dx}=-\frac{4\left(x+2\right)}{2y+3}$  

•  $\frac{dy}{dx}=\frac{4\left(x+2\right)}{2y+3}$  

•  $\frac{dy}{dx}=\frac{-4x+2}{2y+3}$  

What is dy/dx if

 $5x^2y^3\ =\ 12$  

•  $\frac{dy}{dx}=-\frac{2y}{3x}$  

•  $\frac{dy}{dx}=-\frac{2x}{3y}$  

•  $\frac{dy}{dx}=\frac{2y}{3x}$  

•  $\frac{dy}{dx}=-\frac{3x}{2y}$  

What is dy/dx if

 $2x^7y^4=10$  

•  $\frac{dy}{dx}=-\frac{7y}{4x}$  

•  $\frac{dy}{dx}=-\frac{7x}{4y}$  

•  $\frac{dy}{dx}=-\frac{4x}{7y}$  

•  $\frac{dy}{dx}=-\frac{14y}{4x}$  

•  $\frac{dy}{dx}=\frac{7y}{4x}$  

Find dy/dx if

 $5x^3+2x^4y^2=10$  

•  $\frac{dy}{dx}=\frac{-8x^3y^2-15x^2}{4x^4y}$  

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

•  $\frac{dy}{dx}=\frac{16x^3y^2-15x^2}{4x^4y}$  

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

Find dy/dx if

 $2x^4y^2-y^3=7$  

•  $\frac{dy}{dx}=-\frac{8x^3y^2}{4x^4y-3y^2}$  

•  $\frac{dy}{dx}=\frac{8x^3y^2}{4x^4y-3y^2}$  

•  $\frac{dy}{dx}=\frac{8x^3y^2}{4x^4y+3y^2}$  

•  $\frac{dy}{dx}=-\frac{10x^3y^2}{3x^4y-4y^2}$  

Find dy/dx if 8xy = 12

• $\frac{dy}{dx}=-\frac{y}{x}$

• $\frac{dy}{dx}=\frac{y}{x}$

• $\frac{dy}{dx}=-\frac{x}{y}$

• $\frac{dy}{dx}=\frac{x}{y}$

Find d/dx if  $2x^4y^4=20$  

• $\frac{dy}{dx}=-\frac{y}{x}$

• $\frac{dy}{dx}=\frac{y}{x}$

•  $\frac{dy}{dx}=-\frac{y^3}{x^3}$ 

•  $\frac{dy}{dx}=\frac{y^3}{x^3}$ 

 $-3\sin x+4\cos y=10$  

Differentiate w.r.t x 

•  $\frac{dy}{dx}=-\frac{3\cos\left(x\right)}{4\sin\left(y\right)}$  

•  $\frac{dy}{dx}=\frac{3\cos\left(x\right)}{4\sin\left(y\right)}$  

•  $\frac{dy}{dx}=-\frac{3\cos\left(y\right)}{4\sin\left(x\right)}$  

•  $\frac{dy}{dx}=\frac{3\cos\left(y\right)}{4\sin\left(x\right)}$