1 Chapter 3: Derivatives
Mar 15, 2016
1
Chapter 3:
Derivatives
2
d xdx
3
( )s t
4
ln e
5
If a particle is moving right (forward),
then v(t) …
6
2(sin )d xdx
7
If f(x) is differentiable for all values of x, then the graph of f(x) is...
8
A particle is changing directions when…
9
(cos )d xdx
10
If a particle is speeding up, then …
11
loga b
12
A particle is standing still when …
13
(tan )d xdx
14
(cot )d xdx
15
If the graph of f(x) is DECREASING, then the graph of f’(x) is __________.
16
(sec )d xdx
17
( )v t
18
If f(x) is continuous but the derivative of f(x) is undefined then the following things could exist…
19
( )xd edx
20
If the graph of the derivative is negative, then the graph of the
function is ________.
21
(ln )d udx
22
( )ud adx
23
When is net change in position (displacement) and total distance traveled the same?
24
sin xd edx
25
If a particle is moving left, then v(t)…
26
If the graph of the derivative is positive, then the graph of the function is
________.
27
Given function u(x) and v(x),
d uvdx
28
If a particle is slowing down, then …
29
(sin )d xdx
30
If the graph of a function is increasing, then the graph of the derivative is
______.
31
24 3d xdx
32
If the graph of a function is decreasing, then the graph of the derivative is
______.
33
21d
dx x
34
How do you find the average acceleration on [a,b] given the
velocity function v(t)?
35
(csc )d xdx
36
How do you find the average velocity on [a,b] given the
position function, s(t)?
37
cos 4d xdx
38
d f g xdx
39
If the graph of f(x) has an extrema at x= b, then the graph of f’(x) has a
_________ at x = b.
40
2log 5d xdx
41
cot5 xddx
42
ln sind xdx
43
Given function u(x) and v(x),
d udx v
44
2xd edx
45
cotd xdx
46
In what case would the graph of f ’(x) have a zero at x = b, and the graph of f(x) not have an extrema at x = b.