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3-2 Implicit Differentiation

Authored by Jessica Stewart

Mathematics

11th - 12th Grade

CCSS covered

Used 97+ times

3-2 Implicit Differentiation
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

6 -x
3x2 +3y2 
−x2/y2
0

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find dy/dx at a given point.

5/4
4/5
1
-5

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

-3
8
0
9

4.

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find   dydx\frac{dy}{dx}  :  2x2−3y2=42x^2-3y^2=4  

 2xy\frac{2x}{y}  

 x3y\frac{x}{3y}  

 3y2x\frac{3y}{2x}  

 2x3y\frac{2x}{3y}  

6.

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}  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find dy/dx
xy+y2=2

-y/(x+2y)
y/(x+2y)
-3y/x
-3x/y

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