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Calculus - Higher Order Derivatives Flashcards | StudBud
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Calculus - Higher Order Derivatives
Calculus - Higher Order Derivatives
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AP Calc AB
Flashcards
14 cards
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Practice quiz
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Questions
14
Answers
1
What does the first derivative tell you?
negative
positive
Increasing/Decreasing
concavity
2
Find f''' if f(x)=x
4
-4x
2
-34?
24
4x3-8x
12x2-8
24x
3
Find f
(4)
if f(x) =2x
6
+5x
3
-53
720x2
240x3+30
60x4+30x
12x5+15x2
4
What is another name for the Second derivative?
Acceleration
Momentum
Speed
Jerk
5
What is another name for the third derivative?
Torque
Jerk
Momentum
Acceleration
6
Find the
Third
derivative of F(x) = x
4
+5x
3
-8x+25
24x+30
4x3+15x2+17
12x2+30x
4x3+15x2-8
7
What is another name for the first derivative?
Torque
Acceleration
Velocity
Speed
8
Find the
Jerk
of F(x) = x
3
+2x
2
+x-2
6x+4
-6
3x2+4x+1
6
9
What is the
Velocity
of F(x) = x
4
-9x
3
+2x
24
4x3+27x2-2
4x3-27x2+2
12x2-34x
10
Find the
SECOND
derivative of F(x) = x
2
+3x-5
2
2x+3
5x+3
5
11
What does the second derivative tell you?
Increasing/decreasing
slope
tangent line
Concavity
12
Find f" if f(x)=2x
3
-5x
2
-34?
12
6x2-10x
12x-10
0
13
What is the acceleration of F(x) = 4x-7
2
0
-3
4
14
What does a derivative at a specific point tell you?
tells the slope of the whole line
whether its a maximum or minimum
Average rate of change
rate of change at that point
