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Implicit Differentiation

Authored by Christopher Cameron

Mathematics

12th Grade

Used 2+ times

Implicit Differentiation
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12 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

Find dy/dx
xy+y2=2

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

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find dy/dx at a given point.

5/4
4/5
1
-5

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

-3
8
0
9

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find dy/dx at the given point


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

-4/7

12

-9

9

6.

MULTIPLE CHOICE QUESTION

15 mins • 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 SELECT QUESTION

15 mins • 1 pt

Using Implicit Differentiation, find  dydx\frac{\text{d}y}{\text{d}x} for  sin⁡ (x2y2)=x\sin\ \left(x^2y^2\right)=x 

 12x2y cos⁡(x2y2)−2yx\frac{1}{2x^2y\ \cos\left(x^2y^2\right)}-\frac{2y}{x} 

 22x2y2cos⁡ (x2y2)−yx\frac{2}{2x^2y^2\cos\ \left(x^2y^2\right)}-\frac{y}{x} 

 12x2ycos⁡(x2y2)−yx\frac{1}{2x^2y\cos\left(x^2y^2\right)}-\frac{y}{x} 

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