AP Calculus AB Review Part 1 Flashcards

1

Choose the correct answer: (d/dx)[e^2x] =

2xe2x
2e2x
2xe2x-1
e2x

2

Choose the correct answer.

7/27
-25/27
25/27
-7/27

3

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

tan(u)·u'
csc(u)·u'
cos(u)·u'
-cos(u)·u'

4

What does a derivative represent in calculus?

B) The total area under the curve.
A) The slope of the tangent line at a point on the curve.
D) The maximum value of a function.
C) The distance between two points on the curve.

5

Choose the correct answer: (d/dx)[h(x)*m(x)] =

h'(x)m(x) - h(x)m'(x)
h'(x)m(x) + h(x)m'(x)
h'(x)m'(x)
m'(x)h(x) - m(x)h'(x)

6

To find position from acceleration, you must...

find the 2nd derivative
integrate twice
find the 1st derivative
integrate once

7

Find the lim_x→0(sinx / 2x)

1/2
0
-1
-2

8

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

uv' + vu'
(uv') / (vu')
uv' - vu'
(vu' - uv')/(v2)

9

Choose the correct answer.

36
6
2
4

10

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

-csc(u)cot(u)·u'
-csc(u)tan(u)·u'
sec(u)tan(u)·u'
sec(u)cot(u)·u'

11

Using properties of definite integrals...

3
-11
-3
11

12

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

csc(u)·u'
-csc2(u)·u'
sec(u)·u'
sec2(u)·u'

13

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

-sin(u)·u'
cos2(u)·u'
sin(u)·u'
csc(u)·u'

14

Choose the correct answer.

-1
-3
3
1

15

Choose the correct answer.

-6x2sin(x3)
6x2sin(x3)cos(x3)
6x2cos(x3)
-6x2sin(x3)cos(x3)

AP Calculus AB Review Part 1

Questions 15

AP Calculus AB Review Part 1

Questions 15