Free Printable Review: Limits, Derivatives, Integrals

Free Printable Worksheets

Worksheets

Review: Limits, Derivatives, Integrals

Total questions: 80

Worksheet time: 40mins

Name

Class

Date

1.

a)

b)

c)

d)

2.

a)

b)

c)

d)

3.

a)

b)

c)

d)

4.

a)

b)

c)

d)

5.

a)

b)

c)

d)

6.

a)

b)

c)

d)

7.

a)

b)

c)

d)

8.

a)

b)

c)

d)

9.

a)

b)

c)

d)

10.

a)

b)

c)

d)

11.

a)

b)

c)

d)

12.

a)

b)

c)

d)

13.

a)

b)

c)

d)

14.

a)

b)

c)

d)

15.

a)

b)

$\sin\left(x\right)$

c)

d)

tan(x)

16.

a)

b)

c)

d)

17.

a)

b)

$\cot\left(x\right)$

c)

d)

18.

a)

b)

c)

d)

19.

a)

b)

c)

d)

20.

a)

b)

c)

d)

21.

a)

b)

c)

d)

22.

a)

b)

c)

d)

23.

a)

b)

c)

d)

24.

a)

b)

c)

d)

25.

a)

b)

c)

d)

26.

a)

b)

c)

d)

27.

a)

b)

c)

d)

28.

a)

the instantaneous rate of change of a function

b)

the average rate of change

c)

a rule you do to find a new equation

29.

a)

b)

c)

d)

30.

The derivative of position is...

a)

velocity

b)

acceleration

c)

position

d)

speed

31.

The derivative of velocity is...

a)

velocity

b)

acceleration

c)

position

d)

speed

32.

a)

Little infinity over big infinity

b)

Limit definition of the derivative

c)

Factor, cancel, and substitute

d)

Big infinity over little infinity

33.

a)

Big infinity over little infinity equals infinity

b)

Little infinity over big infinity equals zero

c)

Same infinity over same infinity equals ratio

d)

Factor and cancel

34.

a)

Big infinity over little infinity equals infinity

b)

Little infinity over big infinity equals zero

c)

Same infinity over same infinity equals ratio of 1/1=1

d)

Factor and cancel

35.

a)

Big infinity over little infinity equals infinity

b)

Little infinity over big infinity equals zero

c)

Same infinity over same infinity equals ratio equals 1/e

d)

Factor and cancel

36.

a)

Big infinity over little infinity equals infinity

b)

Little infinity over big infinity equals zero

c)

Same infinity over same infinity equals ratio equals 2/3

d)

Factor and cancel

37.

a)

Big infinity over little infinity equals infinity

b)

Little infinity over big infinity equals zero

c)

Same infinity over same infinity equals ratio equals 3/1

d)

Same infinity over same infinity equals ration 9/1

38.

a)

0

b)

1

c)

cos(x)

d)

sin(x)

39.

a)

0

b)

1

c)

cos(x)

d)

sin(x)

40.

a)

Factor, cancel, and substitute

b)

Multiply by the conjugate

c)

Substitute 2.99

d)

Substitute 3.01

41.

a)

Factor, cancel, and substitute

b)

Multiply by the conjugate

c)

Substitute 2.99

d)

Substitute 3.01

42.

a)

Little infinity over big infinity equals zero

b)

Big infinity over little infinity equals infinity

c)

Same infinity over same infinity equals 1 over 1

43.

a)

Zero over big infinity equals zero

b)

Big infinity over little infinity equals infinity

c)

Same infinity over same infinity equals 1 over 1

44.

a)

Little infinity over big infinity equals zero

b)

Big infinity over little infinity equals infinity

c)

Same infinity over same infinity equals 1 over 1

45.

a)

Little infinity over big infinity equals zero

b)

Big infinity over zero infinity equals infinity

c)

Same infinity over same infinity equals 1 over 1

46.

a)

Little infinity over big infinity equals zero

b)

Big infinity over little infinity equals infinity

c)

Same infinity over same infinity equals 1 over 1

47.

a)

Multiply by the conjugate, simplify, cancel and substitute

b)

Multiply by the denominator

c)

Factor and Cancel

d)

Substitute 8.01

48.

a)

Multiply by the conjugate, simplify, cancel and substitute

b)

Multiply by the denominator

c)

Factor and Cancel

d)

Substitute 9.01

49.

a)

1

b)

5

c)

0

d)

1/5

50.

a)

0

b)

1

c)

2

d)

1/2

51.

a)

Check Left, Check Right, See if Equal

b)

Multiply by conjugate

c)

Graph

d)

Set equal, solve for constant

52.

a)

Check Left, Check Right, See if Equal

b)

Multiply by conjugate

c)

Graph

d)

Set equal, solve for constant

53.

a)

Infinity

b)

Negative Infinity

c)

Zero

d)

8

54.

a)

Infinity

b)

Negative Infinity

c)

Zero

d)

8

55.

a)

5

b)

Infinity

c)

Negative Infinity

d)

Zero

56.

a)

Infinity

b)

Negative Infinity

c)

Zero

d)

5

57.

When using the Intermediate Value Theorem on $f\left(x\right)$ , you must first write

a)

Since $f\left(x\right)$ is increasing

b)

Since $f\left(x\right)$ is continous

c)

Since $f\left(x\right)>L$

d)

Since $f\left(x\right)$ is a function

58.

To find the horizontal asymptotes of $f\left(x\right)$ , you consider

a)

The limit of $f\left(x\right)$ as x approaches positive and negative infinity

b)

Set the denominator of $f\left(x\right)$ equal to zero, ignoring holes

c)

Find the holes by cancelling common factors

59.

To find the vertical asymptotes of $f\left(x\right)$ , you consider

a)

The limit of $f\left(x\right)$ as x approaches positive and negative infinity

b)

Set the denominator of $f\left(x\right)$ equal to zero, ignoring holes

c)

Find the holes by cancelling common factors

60.

If $f\left(x\right)=\frac{5x-2}{x+3}$ , the vertical asymptote is

a)

$x=-3$

b)

$x=3$

c)

$y=5$

d)

$y=-5$

61.

If $f\left(x\right)=\frac{5x-2}{x+3}$ , the horizontal asymptote is

a)

$x=-3$

b)

$x=3$

c)

$y=5$

d)

$y=-5$

62.

Average rate of change

a)

b)

63.

Average Value

a)

b)

64.

a)

Average rate of change

b)

Average value

65.

a)

Average rate of change

b)

Average value

66.

a)

b)

c)

d)

67.

a)

b)

c)

d)

68.

a)

b)

c)

d)

69.

a)

b)

c)

d)

70.

a)

b)

c)

d)

71.

a)

b)

72.

a)

b)

73.

a)

b)

c)

d)

74.

a)

b)

c)

d)

75.

a)

b)

c)

d)

76.

a)

b)

c)

d)

77.

a)

b)

c)

d)

78.

a)

b)

c)

d)

79.

a)

b)

c)

d)

80.

a)

b)

c)

d)

Reset

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