Implicit Differentiation quiz

Find dy/dx for 8x² + y²=10

• -8x/y

• 8x/y

• -8x-y

• -16x/y

Find dy/dx for 5x² - xy - 4y² = -4

• (x+8y)/(10x-y)

• (10x-y)/(x+8y)

• 2

• (10x+y)/(x-8y)

Find dy/dx at the given point

x³ +2xy -y²=11 at (2,3)

• -4/7

• 12

• -9

• 9

Find the equation of the tangent line at the given point

(in point slope form).

9x² - 4y² =5 at (1, -1)

• y+1=-9/4(x-1)

• y+1=-3/4(x-1)

• y+1=9/4(x+1)

• y+1=-2(x-1)

Find dy/dx for xy+y =8 at (3,2)

• -2

• -3/2

• -1/2

• 1/2

Find dy/dx for x² -y² =16 at (-5,3)

• 3/5

• -5/3

• -10/3

• 5/3

Find the equation of the tangent line (in slope intercept form) for x²- xy + y² = 7 at (-1,2)

• y=4/5x+3

• y=4/5x + 14/5

• y=2/3x + 8/3

• y=-4/5x + 6/5