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Calculus: Derivative Review Flashcards | StudBud
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Calculus: Derivative Review
Calculus: Derivative Review
20 terms
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A beginning review of derivatives #calculus #derivatives
Flashcards
20 cards
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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 a function is the ________________ at a given point.
pun
slope
graphing
number
3
The derivative of y=sin
2
(3x) is?
sin(cos(tan(x)))
2sin(3x)(cos(3x))(3)
2cos(3x)(3)
sin2(3x)cos(3x)(3)
4
If f ' (9) < 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?
decreasing and concave down
increasing and concave up
increasing and concave down
decreasing and concave up
5
The second derivative of 6x is?
1
6x
6
0
6
The derivative of f(x)=e
3x-4
is?
ex e3x-4
e3x-4
3xe3x-4
3e3x-4
7
What is the derivative of y=xsinx...go slow...
y'=cosx+xsinx
y'=1cosx
y'=xcosx+sinx
y'=sinxcosx
8
The derivative of f(x)=sec(8x-3) is?
sec(8x-3)(8)
sec(8x-3)tan(8x-3)(8x)
sec(8x)tan(8x)(8x-3)
sec(8x-3)tan(8x-3)(8)
9
If f ' (4) = 0 and f '' (4) = -1.23456, then at x = 4, there is a(n)?
relative min
relative max
point of inflection
a bag of doritos
10
If g''(3) = 10, what is happening at x=3?
decreasing
increasing
concave up
concave down
11
If g''(3) = 10, what is happening at x=3?
decreasing
concave up
concave down
increasing
12
The second derivative of y=sin x is?
six(n)
-cos(x)
-sin(x)
cos(x)
13
If f '' (4) = 0 and f '' (x) changes sign at x = 4, then at x = 4, there is a(n)?
rabbit
relative max
point of inflection
relative min
14
If f '(3)=0 and f ''(3)=4.5, then at x=3 there is a(n)?
point of inflection
relative max
relative min
horse
15
The derivative of 13x
4
is?
42x4
54x3
52x3
13x3
16
The derivative of y=4
5x-9
is?
(ln4)54x-9(5)
45x-9(5)
(ln4)45x-9(5)
e5x-9
17
If f ' (9) < 0 and f '' (9) > 0, at x = 9, the graph of f(x) is?
increasing and concave down
increasing and concave up
decreasing and concave up
decreasing and concave down
18
The derivative of g(x)=ln(4x-9) is?
ln(4x-9)
4/(4x-9)
ln(4)(4x-9)
(4x-9)(ln 4)
19
If f ' (1) = -2, what is known about f(x) at x = 1?
decreasing
increasing
concave down
concave up
20
The second derivative of h(x)=e
6x
is?
12ex
6e6x
12e6x
36e6x
