Implicit Differentiation

Find dy/dx by Implicit Differentiation 
x + 4y = 1

• -1/4
• -1 
• 4
• 1 

Find  $\frac{dy}{dx}$ :  $y^2=10x$  

•  $\frac{5}{y}$  

•  $\frac{10}{y}$  

•  $\frac{y^2}{5}$  

•  $\frac{y^2}{10}$  

Tags

CCSS.HSF-BF.B.4A

Find  $\frac{dy}{dx}$ :  $x^2-y^2=25$  

•  $\frac{y}{x}$  

•  $\frac{x}{y}$  

•  $\frac{x^2}{y}$  

•  $\frac{x^3}{y}$  

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

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0

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

•  $\frac{2x}{y}$  

•  $\frac{x}{3y}$  

•  $\frac{3y}{2x}$  

•  $\frac{2x}{3y}$  

Find dy/dx by Implicit Differentiation

xy = 6

(Hint: use the product rule)

• -x/ y

• -y/ x

• -6y/ x

• y/x

Find dy/dx
xy+y²=2

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

If x² + xy = 10, then when x = 2, dy/dx =

(Hint: Use implicit differentiation first)

• -7/2

• 2/7

• 3/2

• 7/2

Find dy/dx at the given point

x³ +2xy -y²=11 at (2,3)

• -4/7

• 12

• -9

• 9