Implicit Differentiation Quiz

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

6 -x

3x² +3y²

$\frac{-x^2}{y^2}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

2xy - 2y³

2y(x-y²)/x(6y²-x)

-2y/x

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

-7/2

2/7

3/2

7/2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find dy/dx for 5x²- xy - 4y²= -4

(x+8y)/(10x-y)

(10x-y)/(x+8y)

(10x+y)/(x-8y)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope of the tangent line at the given point

x³ +2xy -y²=11 at (2,3)

-4/7

-9

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

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

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

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

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

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Implicit Differentiation Quiz

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

Find dy/dx by Implicit Differentiation2xy3 - x2y = 2

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

Find dy/dx for 5x2 - xy - 4y2 = -4

Find the slope of the tangent line at the given pointx3 +2xy -y2=11 at (2,3)

x2+xy+y2=9 @ (1,2)x^2+xy+y^2=9\ @\ \left(1,2\right)x2+xy+y2=9 @ (1,2) Use implicit differentiation to write the equation of the tangent line to the curve at the given point.

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Discover more resources for Mathematics

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

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

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

Find dy/dx for 5x²- xy - 4y²= -4

Find the slope of the tangent line at the given point

x³ +2xy -y²=11 at (2,3)

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