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AP Calculus AB Derivatives Review #1 Flashcards | StudBud
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AP Calculus AB Derivatives Review #1
AP Calculus AB Derivatives Review #1
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Questions
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Answers
1
The derivative of any constant is ...
1
Nonexistant
0
-1
2
Derivative at a Point
24
12
20
18
3
A function is not differentiable at a point when there is a...
Discontinuity
Vertical Tangent
Corner
Cusp
4
What is the chain rule for derivatives?
f'(x) = f'(g(x))*g'(x)
f'(x)=nx(n-1)
f'(x) = [g(x)*f'(x) - f(x)*g'(x)] / g2(x)
f'(x) = f(x)*g'(x) + g(x)*f'(x)
5
What is the power rule for derivatives?
f'(x)=ex
f'(x)=nx(n-1)
f'(x)=x(n-1)
f'(x)=g'(x)+f'(x)
6
If a function is continuous, then the function is differentiable.
True
False
7
What is the first derivative of position?
Acceleration
Speed
Velocity
Momentum
8
Derivative at a Point
0
-2
2
-1
9
d/dx e
x
= e
x
False
True
10
Find the derivative of the function.
y=3(2x-7)3
y=3(2x-7)2
y=6( 2x-7 )2
y=6(2x+7)
11
d/dx sin(x) = -cos(x)
True
False
12
What is the quotient rule for derivatives?
f'(x) = f'(g(x))*g'(x)
f'(x) = [g(x)*f'(x) - f(x)*g'(x)] / g2(x)
f'(x) = f(x)*g'(x) + g(x)*f'(x)
f'(x)=nx(n-1)
13
What is the second derivative of position?
Acceleration
Momentum
Velocity
Speed
