Implicit Differentiation Quiz

Find dy/dx by Implicit Differentiation

x³ +y³ = 36

• 6 -x

• 3x² +3y²

• $\frac{-x^2}{y^2}$
  

• 0

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

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

Tags

CCSS.HSA.REI.A.1

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

• -7/2

• 2/7

• 3/2

• 7/2

Find dy/dx for 5x² - xy - 4y² = -4

• (x+8y)/(10x-y)

• (10x-y)/(x+8y)

• 2

• (10x+y)/(x-8y)

Find the slope of the tangent line at the given point

x³ +2xy -y²=11 at (2,3)

• -4/7

• 12

• -9

• 9

 $x^2+xy+y^2=9\ @\ \left(1,2\right)$  Use implicit differentiation to write the equation of the tangent line to the curve at the given point.      

•  $y-1=\frac{-4}{5}\left(x-2\right)$  

•  $y-2=\frac{-4}{5}\left(x-1\right)$  

•  $y-2=\frac{4}{5}\left(x-1\right)$  

•  $y+2=\frac{-4}{5}\left(x+1\right)$