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AB Unit 2
AB Unit 2
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Calculus Unit 2 - Derivatives
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
What is the lim(h-->0) of [sin(π+h))-sin(π)]/h
π
-1
0
1
2
What is the derivative of sec(f(x))?
secf(x)tanf(x)f'(x)
tan(f(x)
sec2f(x)
secf(x)tanf(x)
3
What is d/dx(sin
3
(4x))
1
12sin2(4x)
3sin(4x)
12sin2(4x)cos(4x)
4
What is d/dx(sin
2
4x)
8sin(4x)
8sin(4x)cos(4x)
cos(4x)
2sin(4x)
5
What is the instantaneous velocity of s(t) = 2t
3
-4t
2
+t+5 at t = 1
-4
1
-1
4
6
How do we find when a function is at rest?
Find all times where the acceleration is 0.
Set the derivative of velocity = to 0
Set the position = to 0 and solve.
Set the derivative of s(t) = to 0 and solve.
7
The derivative of a constant is
0
0
0
all of the above
8
What is the average velocity when s(t) = 2t
2
-1 on [1,2]
7
4
6
8
9
When is the speed of a particle decreasing?
When acceleration is negative
When v(t) and a(t) have the same signs
When v(t) and a(t) have different signs
When velocity is negative
10
The graph of the derivative of the cubic function y=x
3
is a ...
Line going uphill
parabola opening down
Parabola opening up
Line going downhill
