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