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Mathematics

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6 years

Mathematics

University

Implicit Differentiation Quiz

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6 questions

6 questions

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1. Multiple Choice
5 minutes
1 pt
Find dy/dx by Implicit Differentiation
x³ +y³ = 36
6 -x
3x² +3y²
$\frac{-x^2}{y^2}$
0
2. Multiple Choice
5 minutes
1 pt
Find dy/dx by Implicit Differentiation
2xy³- x²y = 2
2xy - 2y³
2y(x-y²)/x(6y²-x)
-2y/x
2
3. Multiple Choice
5 minutes
1 pt
If x² + xy = 10, then when x = 2, dy/dx =
-7/2
2/7
3/2
7/2
4. Multiple Choice
5 minutes
1 pt
Find dy/dx for 5x²- xy - 4y²= -4
(x+8y)/(10x-y)
(10x-y)/(x+8y)
2
(10x+y)/(x-8y)
5. Multiple Choice
5 minutes
1 pt
Find the slope of the tangent line at the given point

x³ +2xy -y²=11 at (2,3)
-4/7
12
-9
9
6. Multiple Choice
5 minutes
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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