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Calculus: Derivatives Flashcards | StudBud
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Calculus: Derivatives
Calculus: Derivatives
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A beginning review of derivatives #calculus #derivatives
Flashcards
14 cards
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Practice quiz
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Questions
14
Answers
1
If f ' (4) = 0 and f '' (4) = -1.23456, then at x = 4, there is a(n)?
relative min
relative max
a bag of doritos
point of inflection
2
If g''(3) = 10, what is true about the function at x=3?
concave up
increasing
decreasing
concave down
3
The second derivative of h(x)=e
6x
is?
12e6x
12ex
6e6x
36e6x
4
The derivative of f(x)=sec(8x-3) is?
sec(8x)tan(8x)(8x-3)
sec(8x-3)tan(8x-3)(8)
sec(8x-3)(8)
sec(8x-3)tan(8x-3)(8x)
5
If f ' (1) = -2, what is known about f(x) at x = 1?
concave down
increasing
concave up
decreasing
6
If f '' (4) = 0 and f '' (x) changes sign at x = 4, then at x = 4, there is a(n)?
rabbit
relative min
relative max
point of inflection
7
The derivative of f(x)=e
3x-4
is?
ex e3x-4
3e3x-4
e3x-4
3xe3x-4
8
The derivative of 13x
4
is?
52x3
54x3
42x4
13x3
9
The derivative of g(x)=ln(4x-9) is?
ln(4x-9)
(4x-9)(ln 4)
ln(4)(4x-9)
4/(4x-9)
10
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
11
The second derivative of 6x is?
6
0
1
6x
12
If g''(3) = 10, what is happening at x=3?
concave down
decreasing
increasing
concave up
13
The derivative of y=sin
2
(3x) is?
sin(cos(tan(x)))
2cos(3x)(3)
2sin(3x)(cos(3x))(3)
sin2(3x)cos(3x)(3)
14
What is the derivative of y=xsinx...go slow...
y'=xcosx+sinx
y'=cosx+xsinx
y'=sinxcosx
y'=1cosx
