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Implicit Differentiation (Part A)

Authored by CLAUDE CADET

Mathematics

9th - 12th Grade

Used 1+ times

Implicit Differentiation (Part A)
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10 questions

Show all answers

1.

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}  

2.

MULTIPLE CHOICE QUESTION

30 sec • 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}  

3.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Find dy/dx at the given point


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

-4/7

12

-9

9

4.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Media Image

-2

-2/3

2/3

2

5.

MULTIPLE CHOICE QUESTION

15 mins • 5 pts

Media Image

-3
8
0
9

6.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

−3sin⁡x+4cos⁡y=10-3\sin x+4\cos y=10  

Differentiate w.r.t x 

dydx=−3cos⁡(x)4sin⁡(y)\frac{dy}{dx}=-\frac{3\cos\left(x\right)}{4\sin\left(y\right)}  

dydx=3cos⁡(x)4sin⁡(y)\frac{dy}{dx}=\frac{3\cos\left(x\right)}{4\sin\left(y\right)}  

dydx=−3cos⁡(y)4sin⁡(x)\frac{dy}{dx}=-\frac{3\cos\left(y\right)}{4\sin\left(x\right)}  

dydx=3cos⁡(y)4sin⁡(x)\frac{dy}{dx}=\frac{3\cos\left(y\right)}{4\sin\left(x\right)}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 5 pts

Media Image

A

B

C

D

E

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