Implicit Differentiation Basic

Find dy/dx  if     4x + 12y = 10

•  $\frac{dy}{dx}=-\frac{1}{3}$  

•  $\frac{dy}{dx}=-\frac{1x}{3y}$  

•  $\frac{dy}{dx}=-\frac{3}{1}$  

•  $\frac{dy}{dx}=\frac{1}{3}$  

Find dy/dx if     -7x + 9y = 12

• $\frac{dy}{dx}=\frac{7}{9}$

• $\frac{dy}{dx}=\frac{19}{9}$

• $\frac{dy}{dx}=-\frac{7}{9}$

• $\frac{dy}{dx}=-\frac{19}{9}$

•  $\frac{dy}{dx}=\frac{9}{7}$ 

Differentiate w.r.t x if     $-8x^2+12y^2=24$  

•  $\frac{dy}{dx}=\frac{2x}{3y}$  

•  $\frac{dy}{dx}=-\frac{2x}{3y}$  

•  $\frac{dy}{dx}=\frac{3x}{2y}$  

•  $\frac{dy}{dx}=-\frac{3x}{2y}$  

•  $\frac{dy}{dx}=\frac{3y}{2x}$  

Find dy/dx if     $-7x^3+4y^3\ =\ 10$  

•  $\frac{dy}{dx}=\frac{7x}{4y}$  

•  $\frac{dy}{dx}=\frac{7x^2}{4y^2}$  

•  $\frac{dy}{dx}=\frac{7x^3}{4y^3}$  

•  $\frac{dy}{dx}=-\frac{7x^2}{4y^2}$  

Differentiate w.r.t x,

 $-4x^2+12x+6y^2-10y=5$  

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

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

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

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

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

Find dy/dx if        $3x^2-5x+6y^2-7y=24$  

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

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

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

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

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

Find dy/dx by Implicit Differentiation
2xy³ - x²y = 2

• 2xy - 2y³
• 2y(x-y²)/x(6y²-x)
• -2y/x
• 2

Find dy/dx by Implicit Differentiation

(2x+y)/(x-5y) = 1

• y/x

• 6

• -1/6

• xy

• -3
• 8
• 0
• 9