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AP Calculus AB Project (DISABLE MEMES PLEASE)

Total questions: 25

Worksheet time: 33mins

Name
Class
Date
1.

Find the Limit:

a)

55

b)

The Limit does not exist

c)

56

d)

26

2.

Find the Limit:

a)

The Limit does not exist

b)

0

c)

2

d)

2 ⁄ 0

3.

Find the Limit:

a)

0

b)

4

c)

3

d)

The Limit Does Not Exist

4.

Find the Limit:

a)

0

b)

The Limit Does Not Exist

c)

-1/4

d)

1/4

5.

Find the Limit:

a)

0

b)

-1

c)

1

d)

The Limit Does Not Exist

6.

Find the Limit:

a)

-1

b)

The Limit Does Not Exist

c)

0

d)

1

7.

Find the Limit:

a)

The Limit Does Not Exist

b)

-∞

c)

1

d)

8.

Find the Limit:

a)

-∞

b)

c)

The Limit Does Not Exist

d)

0

9.

Find the Limit:

a)

1/3

b)

The Limit Does Not Exist

c)

-1/3

d)

0

10.

Find the Limit:

a)

0

b)

-1

c)

6

d)

The Limit Does Not Exist

11.

Find the Limit:

a)

7

b)

The Limit Does Not Exist

c)

1

d)

0

12.

Find the Limit:

a)

0

b)

-2

c)

1

d)

The Limit Does Not Exist

13.

Find the Limit:

a)

√(5)/2

b)

The Limit Does Not Exist

c)

5/2

d)

5x/2x

14.

Find the Limit:

a)

0

b)

15

c)

d)

-∞

15.

Find the Limit:

a)

b)

0

c)

-∞

d)

-1

16.

Find the Limit:

a)

5/2

b)

-2/5

c)

0

d)

2/5

17.

Find The Limit:

a)

The Limit Does Not Exist

b)

1

c)

-∞

d)

18.

Find the instantaneous rate of change of the function at x=2

a)

14

b)

2

c)

-23

d)

23

19.

Using the limit definition of a derivative, find f'(x).

a)

f'(x) = 2x+5

b)

f'(x)= 1/2√(2x+5)

c)

f'(x)= -1/2√(2x+5)

d)

f'(x) = 2

20.

Find f'(x) using the power rule:

a)

ƒ'(x)= -3/x2

b)

ƒ'(x)= -3/x

c)

ƒ'(x)= 3/x2

d)

ƒ'(x)= 1/x

21.

Find y' using power rule

a)

y'= -20x-5

b)

y'= -20x-4

c)

y'= 20x-5

d)

y'= 20x-4

22.

Find f'(x) using power rule.

a)

ƒ'(x)= 4x3+3x+1

b)

ƒ'(x)= 16x3+6x+x-2/3

c)

ƒ'(x)= 16x3+6x+x2/3

d)

ƒ'(x)= 16x3+6x+2/3

23.

Find the slope of the function at x=2

a)

61

b)

35

c)

11

d)

4

24.

Find the Tangent line equation of the function at (1,4)

a)

y= 13x-9

b)

y= -7x+3

c)

y= 64x-63

d)

y= 7x-11

25.

Find f'(x) using the product rule.

a)

ƒ'(x)= -20x4+48x2

b)

ƒ'(x)= 20x4+48x2

c)

ƒ'(x)= x3+4x2

d)

ƒ'(x)= 4x5+16x3