Implicit Differentiation Quiz Review

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

Find dy/dx
xy+y²=2

• -y/(x+2y)
• y/(x+2y)
• -3y/x
• -3x/y

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5

Find dy/dx at the given point

x³ +2xy -y²=11 at (2,3)

• -4/7

• 12

• -9

• 9

Find  $\frac{dy}{dx}$ :  $y^2=10x$  

•  $\frac{5}{y}$  

•  $\frac{10}{y}$  

•  $\frac{y^2}{5}$  

•  $\frac{y^2}{10}$  

Find   $\frac{dy}{dx}$  :  $2x^2-3y^2=4$  

•  $\frac{2x}{y}$  

•  $\frac{x}{3y}$  

•  $\frac{3y}{2x}$  

•  $\frac{2x}{3y}$  

Find the derivative of  $x^2+xy+y^3=0$  

•  $-\ \frac{2x}{1+3y^2}$  

•  $-\frac{x+3y^2}{2x+y}$  

•  $-\frac{2x+y}{x+3y^2}$  

•  $-\frac{2x}{x+3y^2}$  

Find dy/dx if

 $-5x+8y=20$  

•  $\frac{dy}{dx}=-\frac{5}{8}$  

•  $\frac{dy}{dx}=\frac{5}{8}$  

•  $\frac{dy}{dx}=\frac{25}{8}$  

•  $\frac{dy}{dx}=-\frac{8}{5}$  

Find dy/dx if

 $10x^2+5y^2+15y=-40x+7$  

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

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

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

What is dy/dx if

 $3x^7y^4=12$  

•  $\frac{dy}{dx}=-\frac{7y}{4x}$  

•  $\frac{dy}{dx}=-\frac{7x}{4y}$  

•  $\frac{dy}{dx}=-\frac{4x}{7y}$  

•  $\frac{dy}{dx}=-\frac{14y}{4x}$  

•  $\frac{dy}{dx}=\frac{7y}{4x}$