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Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Implicit Differentiation Practice
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36 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 12 pts

Find  dydx\frac{dy}{dx} :  y2=10xy^2=10x  

5y\frac{5}{y}  

10y\frac{10}{y}  

y25\frac{y^2}{5}  

y210\frac{y^2}{10}  

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find dy/dx at the given point


x3 +2xy -y2=11 at (2,3)

-4/7

12

-9

9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

-3
8
0
9

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find dy/dx at a given point.

5/4
4/5
1
-5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of x2+xy+y3=0x^2+xy+y^3=0  

− 2x1+3y2-\ \frac{2x}{1+3y^2}  

−x+3y22x+y-\frac{x+3y^2}{2x+y}  

−2x+yx+3y2-\frac{2x+y}{x+3y^2}  

−2xx+3y2-\frac{2x}{x+3y^2}  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

-7/2

2/7

3/2

7/2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

x2+xy+y2=9 @ (1,2)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=−45(x−2)y-1=\frac{-4}{5}\left(x-2\right)  

y−2=−45(x−1)y-2=\frac{-4}{5}\left(x-1\right)  

y−2=45(x−1)y-2=\frac{4}{5}\left(x-1\right)  

y+2=−45(x+1)y+2=\frac{-4}{5}\left(x+1\right)  

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