Implicit differentiation

Find dy/dx by Implicit Differentiation

x³ +y³ = 36

• 6 -x

• 3x² +3y²

• −x²/y²

• 0

Find dy/dx by Implicit Differentiation
xy = 6

• -x/ y
• -y/ x
• -6y/ x
• y/x

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 by Implicit Differentiation

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

• y/x

• 6

• -1/6

• xy

Find dy/dx
sin(y²)=x

• 1/(2ycos(y²))
• cos(y²)
• x/(2ycos(y²))
• 1/(cos(y²))

• -3
• 8
• 0
• 9

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 6x(x² + 1)²
• dy/dx = 2x(x² + 1)²

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)

find dy²/ d²x   of   x² + y² = 16
Make sure to go as far as you can!

• -16/ y³
• (y² - x ^dy/dx) /  (y³)
• (y² - x²) / y³