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AP Calculus - Chapter 4 Limits & Derivatives Review Flashcards | StudBud
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AP Calculus - Chapter 4 Limits & Derivatives Review
AP Calculus - Chapter 4 Limits & Derivatives Review
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#APCalculus #Limits #Derivatives
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
This function is...
differentiable
differentiable, but not continuous
discontinuous
continuous, but not differentiable
2
When a particle is moving left, that means its velocity is...
neither
both
positive
negative
3
Find the derivative of y = 5x
4
+ 3x
2
− 7x + 2
20x3 + 6x − 7
none of the above
20x2 + 6x − 7
15x6 + 2
4
(implicit differentiation) if y
2
= x, then dy/dx = ...
2
(2y) / 1
1 / (2y)
1
5
Use end behaviour to solve lim
x->∞
(x
2
− 4)/(2 + x − 4x
2
)
1/2
x2/2
DNE
−1/4
6
This function ....
is concave down
goes from positive to negative
has a relative max
is concave up
7
Find the acceleration function if v(t) = 2x
4
+ 5x
x4
5
8x3+ 5
0
8
A point on the graph where f ''(x) changes signs is a(n)....
point of no concavity
inflection point
critical point
extrema
9
In the Mean Value Theorem for derivatives, f '(c) =...
(f(b) + f(a)) / (b + a)
(f(b) − f(a)) / (b − a)
(f(a) − f(b)) / (b − a)
(f(b) − f(a)) / (a − b)
10
If the left limit and right limit don't agree then the limit.....
exists
DNE
0
1
