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Duplicate of AP Calculus AB Final: Derivatives
Duplicate of AP Calculus AB Final: Derivatives
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#calculus #ap #review
Flashcards
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Questions
40
Answers
1
On what intervals is f(x)=x
4
-4x
3
both decreasing and concave up?
(-∞,0)
(2,3)
(-∞, 0)U(2,3)
(0,2)
2
True/False: If f(x) = g(x)/h(x), then f’(x) = g’(x)/h’(x)
False
True
3
How far can you walk into the woods?
One fourth of the way
All the way
Half way
Three fourths of the way
4
In Romeo and Juliet, what family does Romeo belong to?
Verona
Capulet
Mercutio
Montague
5
Find the slope of the tangent line to the graph of f at x=4, given that f(x) = -x
2
- 4√x
-7
-9
-10
-8
6
You are in a race, and you pass the guy in second. What place are you in now?
4th
2nd
3rd
1st
7
If f(x) = e
3ln(x
2
)
, then f'(x) =
5x4
e3ln(x2)
6(ln x)e3ln(x2)
6x5
8
What is the 7th letter of alphabet?
F
G
E
H
9
Which one is correct? "Penguins fly" or "A penguin flies"
Penguins fly
Neither
A Penguin flies
Both
10
What is the derivative of 2
x
?
0
ln(2)2x-1
ln(2)2x
ln(x)2x
11
Rock is thrown from the moon & reaches a height of h(t)= 24t-0.8t
2
m.Find the velo. at 1.5 sec.
20.3 m/sec
24-1.6t m/sec
21.6 m/sec
10 m/sec
12
There are 14 fish, and 8 drown. How many fish are there?
14 fish
None
8 fish
6 fish
13
If f(x) = (x
2
- 2x -1)
2/3
, then f'(0) is
2/3
-4/3
-2/3
4/3
14
Rock is thrown from the moon & reaches a height of h(t)= 24t-0.8t
2
m.Find the accel at 1.5 sec.
-1.6 m/sec2
1.6 m/sec2
.64 m/sec2
-.64 m/sec2
15
What has a head and tail but no body?
bed
monkey
nail
coin
16
You are my brother, but I am not your brother. Who am I?
your mother
your sister
your father
your brother
17
Find the derivative of y = 3x
2
+ 5e
x
y' = 3x2 + 5ex
y' = 6x + 5ex
y' = 6x + 5e
y' = 6x + 5xex
18
If f(x) is (x
3
-2x+3)/√x, find f'(1)
0
2
1
1/3
19
Which was the first planet to be discovered?
earth
pluto
mercury
mars
20
If a plane crashes on the border between the US and Mexico, where do they bury the survivors?
Mexico
On the border
U.S.
Nowhere
21
What word becomes shorter when you add 2 letters to it?
shorter
short
tiny
small
22
Before Mount Everest was discovered, what was the highest mountain in the world?
Mount Davis
Mount Saint Helens
Mount Everest
K2
23
In how many years has New Year's came before Christmas?
None of them
All of them
5
100
24
How many months have 30 days?
4
1
12
11
25
If y= (x
2
+1)/x, find d
2
y/dx
2
2/x3
2/x2
(4x3+2x)/x4
(12x3+2x)/x4
26
What gets wetter and wetter the more it dries?
the sun
paint
a pool
a towel
27
Rock is thrown from the moon & reaches a height of h(t)= 24t-0.8t
2
m. Time for the max height?
10 seconds
15 seconds
20 seconds
5 seconds
28
Jack's father has five sons: Mat, Met, Mit, and Mot. What is the name of the fifth son?
Jack
Sun
Mut
Harry
29
Compute the derivative of y = 5sec(x) - 2csc(x)
5tan(x) - 2cot(x)
5tan(x) + 2cot(x)
5sec(x)tan(x) + 2csc(x)cot(x)
5sec(x)tan(x) - 2csc(x)cot(x)
30
If f(x) = (x-1)
2
sin(x), then find f'(0)
1
3
-3
-1
31
True/False: If f(x) = g(x) + h(x), then f’(x) = g’(x) + h’(x)
False
True
32
What is the world's largest river by volume?
Nile
Amazon
Congo
Yangtze
33
There are 5 apples and you take 3. How many do you have?
3
5
2
0
34
Does England have a Fourth of July?
Yes
No
35
What is the derivative of cos(x)?
sec(x)
sin(x)
-sin(x)
tan(x)
36
How much dirt is there in a hole that is 3 feet deep, 6 feet long, and 4 feet wide?
5 kg
A metric ton
None
72 ft3
37
If y = tan(x) - cot(x), then find dy/dx
y' = sec2x-csc2x
y' = secx+cscx
y' = secx-cscx
y' = sec2x+csc2x
38
Find the equation of the tangent line to y = 3x
2
+6x+7 at the point (0,7)
y = 7x + 3
y = 6x + 7
y = 12x
y = 6x - 7
39
The slope of the line perpendicular to y = 2ln(sec(x)) at x=π/4 is
-2
2
-1/2
1/2
40
What is the derivative of f
-1
(x)?
1/f(x)
1/f-1(f'(x))
1/f'(f-1(x))
f'(f-1(x))