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Application of Derivatives in Physics

Total questions: 12

Worksheet time: 7mins

Name
Class
Date
1.
a)

Instantaneous rate of function

b)

Instantaneous rate of change

c)

f'(x)

d)

Velocity of object at some x

2.
a)

To find a position of object at extremum points

b)

To find V(t) of S(t)

c)

To find a(t) of V(t)

d)

To find a velocity of some function

3.

Find the equation of velocity?

a)
b)
c)
d)

If you don't know this, you may go out!

4.

Derivatives in Circular motion

a)

b)

c)

d)

5.

What is an EPSILON?

a)
b)
c)
d)

The Angular Accerelation

6.

The ball rotates around O point at 4m with

V(t) = 3t + 1

Now, find the acceleration of the ball, when t=1.

a)

2

b)

3

c)

4

d)

5

7.
a)

2ax + 2(b+c)

b)

2ax + (b+c)^2

c)

4xa

d)

32/(2^4) ax

8.
a)

e^(x+1)

b)

(x+1) e^(x+1)

c)

(x+1) e^x

d)

e^(x+1)

---------

x+1

9.
a)

e^(x^2+1)

b)

x e^(x^2+1)

c)

(x^2+1) e^(x^2+1)

d)

This choice is CORRECT

10.
a)

1

----------

3x + 4

b)

These are not CORRECT

<--- and --->

c)

3

----------

3x + 2^2

d)

3

---------

3x + 4⁰

11.
a)

3x cos(3x+1)

b)

cos(3x+1)

c)

3cos(3x+1)

d)

3sin(3x+1)

12.
a)

e^x cos(e^x)

b)

cos(e^x)

c)

e^x sin(e^x)

d)

-e^x sin(e^x)