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162 Final review Flashcards | StudBud
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162 Final review
162 Final review
20 terms
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Includes derivatives and anti-derivatives to memorize. #math #calculus #AP #derivative
Flashcards
20 cards
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Practice quiz
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Questions
20
Answers
1
∫ 1/x
dx
1 / x2 +c
—1 / x2 +c
ln |x| dx
ln |x| +c
2
T/F/It depends: The derivatives of f\left(x\right)=9x^4and g\left(x\right)=9x^4+120are equal.
False
True
it depends
3
Say you're given the MARGINAL cost function. Taking the
ANTI
DERIVATIVE gives you the:
average value
revenue
total cost
marginal cost
4
\int_1^5g\left(x\right)dx=92. What is the avg value from 1 to 5 of g(x)?
18.4
368
92
23
5
derivative √u
1 / 2√u
- 1 / 2√u
- 1 / u2
1 / u2
6
T/F: the word "derivative" means the slope or rate at a specific point.
False
True
7
derivative of a constant C
c
0
x
1/x
8
derivative of
1
/
u
-1/u2
u*ln(1)
ln|u|
1/u2
9
Say you're given the total cost function. Taking the DERIVATIVE gives you the:
revenue
marginal cost
total cost
average value
10
If f(9) and f(10) are both positive, it must be true that \int_9^{10}f\left(x\right)dx>0.
True
False
11
derivative e
u
eu
ln |eu| du
ln |u| du
eu du
12
derivative ƒ (g(x))
1 / ƒ '(g(x))
ƒ '(x) g(x) + g'(x) ƒ(x)
ƒ '(g(x)) g'(x)
ƒ ' (g(x))
13
This graph shows \int_a^bf\left(x\right)dx. Is that positive or negative or 0?
0
negative
positive
14
antiderivative of
1
/
u
ln|u|
1/u2
u*ln(1)
-1/u2
15
∫ x
n
dx
ln(x) +c
(xn+1) / (n+1) +c
(xn-1) / (n-1) +c
nxn-1 +c
16
derivative ln u
1 / u2 du
—1 / u du
1 / u du
1 / √u du
17
∫
e
x
dx
ex-1 +c
xe x-1 +c
ex dx
ex +c
18
To find the derivative of 9x
2
ln(x), we should use the:
quotient rule
Chain rule
Product rule
Mixed rule
19
derivative of c*x
cx2/2
cx2
c
x
20
The average value of f(x) from 2 to 10 is 6. What is the area of f(x) from 2 to 10?
14
1.33
48
0.75
