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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
18 cards
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Practice quiz
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Questions
18
Answers
1
The derivative of 13x
4
is?
52x3
13x3
42x4
54x3
2
The derivative of g(x)=ln(4x-9) is?
(4x-9)(ln 4)
ln(4x-9)
4/(4x-9)
ln(4)(4x-9)
3
If g''(3) = 10, what is happening at x=3?
concave down
increasing
decreasing
concave up
4
The derivative of h(x)=e
6x
is?
6e6x
12e6x
12ex
36e6x
5
The derivative of f(x)=e
3x-4
is?
3xe3x-4
3e3x-4
e3x-4
ex e3x-4
6
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
7
The derivative of y=4
5x-9
is?
45x-9(5)
(ln4)54x-9(5)
(ln4)45x-9(5)
e5x-9
8
The second derivative of y=sin x is?
-sin(x)
-cos(x)
cos(x)
six(n)
9
The second derivative of 6x is?
6
6x
0
1
10
What is the derivative of cos(4x)?
4sin(4x)
-sin(4x)
-4sin(4x)
sin(4x)
11
If g''(3) = 10, what is happening at x=3?
concave up
concave down
increasing
decreasing
12
If f '(3)=0 and f ''(3)=4.5, then at x=3 there is a(n)?
horse
point of inflection
relative max
relative min
13
What is the derivative of y=xsinx...go slow...
y'=cosx+xsinx
y'=sinxcosx
y'=1cosx
y'=xcosx+sinx
14
If f ' (9) > 0 and f '' (9) < 0, at x = 9, the graph of f(x) is?
increasing and concave up
increasing and concave down
decreasing and concave down
decreasing and concave up
15
If f '' (4) = 0 and f '' (x) changes sign at x = 4, then at x = 4, there is a(n)?
point of inflection
relative max
rabbit
relative min
16
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
decreasing and concave up
increasing and concave up
17
If f ' (1) = -2, what is known about f(x) at x = 1?
increasing
decreasing
concave up
concave down
18
The derivative of f(x)=sec(8x-3) is?
8sec(8x-3)
8xsec(8x-3)tan(8x-3)
8sec(8x-3)tan(8x-3
sec(8x-3)tan(8x-3)
