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Calculus 1
Calculus 1
37 terms
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Review of previous units with emphasis on exponential.
Flashcards
37 cards
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Practice quiz
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Questions
37
Answers
1
A topic not related to calculus is
differentiation
pollution
integration
limits
2
The highest value of a function is called...
stoned
absolute maximum
acrophobic
local maximum
3
If the acceleration of an object at time
t
is negative, then at time
t
...
its speed is increasing
its velocity is negative
its velocity is decreasing
its position is not moving
4
Which of the following numbers is rational?
e
1.222222222222...
√2
π
5
Find the derivative of g(x)=4e
2x-5
4e2x-5 (ln(2))
8e2x-5
4(2x-5) e2x-6
4e2x-5 (2x-5)
6
Which of the following does NOT have a period of π?
sin(x/2)
sin(2x)
|sin(x)|
tan(x)
7
Which of the following pairs are inverse operations?
heat/airconditioning
digital/analog
black/white
exponential/logarithm
8
The only equation that is NOT a line is
y=mx+b
ax+by=c
y-y1=m(x-x1)
y=±√x
9
ln (e
ln(e)
) =
e
1
Does Not Exist
0
10
Evaluate the limit.
1
e
0
∞
11
The act of taking derivatives is called
regression
photosynthesis
embalming
differentiation
12
The derivative of y = 1
-x
is
-1
1
-ln(x)
0
13
The solution(s) to f(x)=0 is called
a constant
a root
a limit
the domain
14
The range of y=1000/x
2
is
(-∞,∞)
(-∞,0) U (0, ∞)
(0,∞)
(0,1000)
15
The graph of x - y
2
= 1 is symmetric to the
y-axis
no symmetry
x-axis
origin
16
If f(x)=csc(x), f'(x)=?
-csc(x) cot(x)
sec(x) tan(x)
(cot(x))2
-cot2(x)
17
If y=x
5
, then
dy/dx ⩾ 0
dy/dx < 0
the range of dy/dx is (-∞, ∞)
dy/dx > 0
18
Which one of these names does not belong?
Riemann
Newton
Euler
Iverson
19
What is the derivative of y= (3e) (4
e+1
)
3e (4e+1) ln(4)
0
3e ln(4)
(4e+1) ln(4)
20
If f(x)=x, then f'(5) = ?
1/5
0
5
1
21
The symbols θ, β, π are...
French
Swahili
Italian
Greek
22
Evaluate the limit
3
DNE
6
0
23
A function which is continuous must
have no enemies
have existing limits at all x-values in its domain
be differentiable
have no asymptotes
24
Find y' of y=ln(x
2
)
e2 ln(x)
2/x
ex/2
ln(x2) (2x)
25
If two positive numbers add to one, what is their minimum product?
1/2
1
0
1/4
26
The concavity of a graph changes at the point of
Infraction
Influxion
Reflection
Inflection
27
The graph of y has
a root at x=-1
a vertical asymptote at x=-1
a horizontal asymptote at y=1
a slant asymptote
28
The variable associated with a sum is
θ
∑
∏
∩
29
In the graph of y=f(x) below, at what point is y'>0 and y''=0 ?
C
B
D
A
30
If y ' = 0, then y = ?
ln(4e+2x)
4x ln(2)
7e6
e7x
31
As x approaches 2 from the right, the expression y=4/(x-2) approaches...
e
∞
0
nirvana
32
What is the derivative of y=e
3x
?
3 e3x
1/3 e3x
3 ex
ln(3) e3x
33
If y=f(x), which notation is incorrect for the derivative?
dy/dx
Day
f(x')
y'
34
If p(t)=2t 3
-5t
, what is p '(t) ?
2(3-5t) -10t (3-5t)
6-5t
(2)(-5)(3-5t)
6-5t + 2t (-5) (3-5t)
35
The domain of the function f(x)=ln(x
2
-4) is
x<2
|x|>2
|x|<2
x>2
36
The slope of the tangent line to y=√x at x=1 is
1
-0.5
0.5
Non-Existant
37
The derivative of f(g(x)) is
f '(g(x)) g '(x)
f '(x)g(x) + f(x)g '(x)
f '(x) g '(x)
f '(g(x))
