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Derivative Review Flashcards | StudBud
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Derivative Review
Derivative Review
20 terms
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StudBud Administration
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17 plays
A beginning review of derivatives
Flashcards
20 cards
F
Practice quiz
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Host live
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Questions
20
Answers
1
If f ' (9) < 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?
decreasing and concave up
decreasing and concave down
increasing and concave up
increasing and concave down
2
The derivative of y=sin
2
(3x) is?
sin2(3x)cos(3x)(3)
2sin(3x)(cos(3x))(3)
2cos(3x)(3)
sin(cos(tan(x)))
3
If f ' (9) < 0 and f '' (9) > 0, at x = 9, the graph of f(x) is?
decreasing and concave up
increasing and concave down
increasing and concave up
decreasing and concave down
4
If f '' (4) = 0 and f '' (x) changes sign at x = 4, then at x = 4, there is a(n)?
relative max
rabbit
relative min
point of inflection
5
The derivative of f(x)=sec(8x-3) is?
sec(8x-3)(8)
sec(8x-3)tan(8x-3)(8)
sec(8x)tan(8x)(8x-3)
sec(8x-3)tan(8x-3)(8x)
6
The second derivative of h(x)=ln(e
6x
) is?
6e6x
6
12e6x
0
7
If g''(3) = 10, what is happening at x=3?
decreasing
concave down
concave up
increasing
8
The derivative of f(x)=e
3x-4
at x=2 is?
22.167
0
3
7.389
9
The second derivative of y=sin x is?
six(n)
-sin(x)
cos(x)
-cos(x)
10
The derivative of g(x)=(4x-9) is?
4
0
(4x-9)
(4x-9)(4)
11
The derivative of 13x
4
is?
54x3
42x4
13x3
52x3
12
If f ' (9) > 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?
decreasing and concave up
increasing and concave up
increasing and concave down
decreasing and concave down
13
If f ' (4) = 0 and f '' (4) = -1.23456, then at x = 4, there is a(n)?
relative min
point of inflection
a bag of doritos
relative max
14
The derivative of a function is a ________________ calculator.
pun
slope
graphing
number
15
The derivative of y=4
5x-9
at x=1 is?
45x-9(5)
.027
7097.88
.014
16
If g''(3) = 10, what is happening at x=3?
concave down
concave up
increasing
decreasing
17
If f ' (1) = -2, what is known about f(x) at x = 1?
concave down
increasing
decreasing
concave up
18
What is the derivative of y=xsinx...go slow...
y'=xcosx+sinx
y'=1cosx
y'=cosx+xsinx
y'=sinxcosx
19
If f '(3)=0 and f ''(3)=4.5, then at x=3 there is a(n)?
relative max
relative min
point of inflection
horse
20
The second derivative of 365ex is?
0
e
365
ex
