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