Duplicate of AP Calculus AB Review

Question 1

Choose the correct answer: (d/dx)[eu] =

Accepted Answer

eu·u'

Question 2

Choose the correct answer: (d/dx)[csc(u)] =

Accepted Answer

-csc(u)cot(u)·u'

Question 3

Choose the correct answer: (d/dx)[vu] =

Accepted Answer

uv' + vu'

Question 4

Choose the correct answer.

Accepted Answer

y = -2(x - π/4)

Question 5

Choose the correct answer: ∫cos(x)dx

Accepted Answer

sin(x) + C

Question 6

What method is used to find volume?

Accepted Answer

L'Hopital's method

Question 7

Choose the correct answer: ∫csc(x)cot(x)dx

Accepted Answer

-csc(x) + C

Question 8

Choose the correct answer: (d/dx)[u/v] =

Accepted Answer

(vu' - uv')/(v2)

Question 9

The first derivative of a function provides information about the _______ of that function.

Accepted Answer

slope

Question 10

Find the limx→0(sinx / 2x)

Accepted Answer

1/2

Question 11

Choose the correct answer: ∫(1/x)dx

Accepted Answer

ln∣x∣ + C

Question 12

How do you find the area between two functions of x?

Accepted Answer

∫(top - bottom)dx

Question 13

Choose the correct answer.

Accepted Answer

-6x2sin(x3)cos(x3)

Question 14

Choose the correct answer.

Accepted Answer

e(t/2) + C

Question 15

Choose the correct answer: (d/dx)[sin(u)] =

Accepted Answer

cos(u)·u'

Question 16

Choose the correct answer: (d/dx)[au] =

Accepted Answer

au·ln(a)·u'

Question 17

Choose the correct answer.

Accepted Answer

-1 < x < 3

Question 18

Choose the correct answer.

Accepted Answer

32π/5

Question 19

What does the mean value theorem state (for continuous, differentiable functions)?

Accepted Answer

average slope = instantaneous slope

Question 20

Choose the correct answer.

Accepted Answer

6

Question 21

Choose the correct answer: ∫sin(x)dx

Accepted Answer

-cos(x) + C

Question 22

Choose the correct answer.

Accepted Answer

13

Question 23

Choose the correct answer.

Accepted Answer

-1

Question 24

Choose the correct answer: ∫sec(x)tan(x)dx

Accepted Answer

sec(x) + C

Question 25

The second derivative of a function provides information about the _______ of that function.

Accepted Answer

concavity

Question 26

Choose the correct answer: ∫exdx

Accepted Answer

ex + C

Question 27

Choose the correct answer: ∫axdx

Accepted Answer

ax / ln(a) + C

Question 28

Choose the correct answer: (d/dx)[cot(u)] =

Accepted Answer

-csc2(u)·u'

Question 29

Choose the correct answer.

Accepted Answer

6

Question 30

For all related rates problems, you must derive each term with respect to

Accepted Answer

time

Question 31

Choose the correct answer.

Accepted Answer

e-1

Question 32

To find velocity from position, you must...

Accepted Answer

find the 1st derivative

Question 33

To find position from acceleration, you must...

Accepted Answer

integrate twice

Question 34

Choose the correct answer: (d/dx)[cos(u)] =

Accepted Answer

-sin(u)·u'

Question 35

Choose the correct answer: (d/dx)[tan(u)] =

Accepted Answer

sec2(u)·u'

Question 36

Choose the correct answer: (d/dx)[sec(u)] =

Accepted Answer

sec(u)tan(u)·u'

Question 37

Choose the correct answer: ∫csc2(x)dx

Accepted Answer

-cot(x) + C

Question 38

Choose the correct answer: (d/dx)[ln(u)] =

Accepted Answer

(1/u)·u'

Question 39

Choose the correct answer.

Accepted Answer

-25/27

Question 40

Choose the correct answer.

Accepted Answer

32/3

Question 41

Choose the correct answer: ∫sec2(x)dx

Accepted Answer

tan(x) + C

Duplicate of AP Calculus AB Review

Questions 41

Duplicate of AP Calculus AB Review

Questions 41