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  5. Cw C3.10 Implicit Differentiation

CW C3.10 Implicit Differentiation

Authored by Hearty Barcebal

Mathematics

12th Grade

CCSS covered

Used 102+ times

CW C3.10 Implicit Differentiation
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Find  dydx\frac{dy}{dx} :  y2=20xy^2=20x  

5y\frac{5}{y}  

10y\frac{10}{y}  

y25\frac{y^2}{5}  

y210\frac{y^2}{10}  

2.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

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}  

3.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Find dy/dx by Implicit Differentiation xy = 79

-x/ y
-y/ x
-6y/ x
y/x

4.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

Find dy/dx by Implicit Differentiation
9y + x = 4y

1/ 9
1/ 5
-1/ 5 
-1/ 9

5.

MULTIPLE CHOICE QUESTION

2 mins • 5 pts

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

2 mins • 5 pts

What is dy/dx if

5x2y3 = 125x^2y^3\ =\ 12  

dydx=−2y3x\frac{dy}{dx}=-\frac{2y}{3x}  

dydx=−2x3y\frac{dy}{dx}=-\frac{2x}{3y}  

dydx=2y3x\frac{dy}{dx}=\frac{2y}{3x}  

dydx=−3x2y\frac{dy}{dx}=-\frac{3x}{2y}  

Tags

CCSS.HSA.REI.A.1

7.

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

Find dy/dx by Implicit Differentiation 
x + 4y = 1

-1/4
-1 
4
1 

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