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DE 261 Calculus: Derivative Review Flashcards | StudBud
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DE 261 Calculus: Derivative Review
DE 261 Calculus: Derivative Review
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A beginning review of derivatives #calculus #derivatives
Flashcards
13 cards
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Questions
13
Answers
1
If f '' (4) = 0 and f '' (x) changes sign at x = 4, then at x = 4, there is a(n)?
relative max
relative min
point of inflection
rabbit
2
The derivative of g(x)=ln(4x-9) is?
ln(4x-9)
(4x-9)(ln 4)
ln(4)(4x-9)
4/(4x-9)
3
The second derivative of h(x)=e
6x
is?
36e6x
6e6x
12e6x
12ex
4
If g''(3) = 10, what is happening at x=3?
decreasing
concave down
increasing
concave up
5
The derivative of y=sin
2
(3x) is?
sin2(3x)cos(3x)(3)
2sin(3x)(cos(3x))(3)
sin(cos(tan(x)))
2cos(3x)(3)
6
The derivative of a function is a ________________ calculator.
number
slope
graphing
pun
7
The derivative of f(x)=e
3x-4
is?
ex e3x-4
e3x-4
3e3x-4
3xe3x-4
8
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
9
If f ' (4) = 0 and f '' (4) = -1.23456, then at x = 4, there is a(n)?
relative max
a bag of doritos
point of inflection
relative min
10
The derivative of 13x
4
is?
42x4
54x3
13x3
52x3
11
If f ' (9) < 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?
decreasing and concave down
increasing and concave down
increasing and concave up
decreasing and concave up
12
The second derivative of 6x is?
0
1
6x
6
13
If f ' (1) = -2, what is known about f(x) at x = 1?
increasing
concave down
decreasing
concave up
