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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
20 cards
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Practice quiz
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Questions
20
Answers
1
If Rolle's Theorem applies to f(x)=x
2
-x on [-1, 3] find c?
Rolle's Theorem does not apply.
c=1/2
c=1
c=-1, 3
2
This function is NOT differentiable at:
x=2
I feel like someone is watching me?
x=-1
x=0
3
The derivative of 13x
4
is?
Have fun on the Kahoot!
13x3
52x3
42x4
4
The derivative of a function is a ________________ calculator.
graphing
pun
slope
number
5
This graph has:
a maximum and a minimum
no maximum nor a minimum
a minimum but no maximum
a maximum but no minimum
6
If f' is graphed: where are the extrema?
There are no extrema.
x=-4, 4
x=0
x=-6, 6
7
If g''(3) = 10, what is happening at x=3?
decreasing
concave up
concave down
increasing
8
If f ' (1) = -2, what is known about f(x) at x = 1?
decreasing
concave up
concave down
increasing
9
If g''(3) = 10, what is happening at x=3?
concave up
decreasing
increasing
concave down
10
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
11
If f '(3)=0 and f ''(3)=4.5, then at x=3 there is a(n)?
relative max
relative min
a black hole forming
point of inflection
12
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
13
What is the derivative of y=xsinx...go slow...
y'=cosx+xsinx
y'=sinxcosx
y'=xcosx+sinx
y'=1cosx
14
This graph is NOT differentiable at:
It is differentiable everywhere.
x=0
x=3
x=-6
15
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
16
Find the Mean value of f(x)=2x
2
-4x+7 on [1, 5]:
4
0
8
16
17
A maximum occurs when f'(x)=0 and:
the white elephant gives a gift
f'(x) starts + and stays +
f'(x) changes from - to +
f'(x) changes from + to -
18
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
increasing and concave up
decreasing and concave down
19
The second derivative of y=sin x is?
-sin(x)
sin(x)
don't pick this answer
cos(x)
20
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
relative min
white rabbit
