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AP Calc Review Flashcards | StudBud
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AP Calc Review
AP Calc Review
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1
The fundamental theorem of calculus (FTC) deals with integrals and anti-derivatives.
False
True
2
When given v(t) and asked to find the derivative, you're looking for
v(t) at a certain point
Position s(t)
Acceleration a(t)
The slope of the tangent line of s(t)
3
What is the
FIRST
and crucial step to solving a differential equation?
Add a C
Separate the variables
Find the anti-derivative
Use the initial condition
4
Which of the following theorems establishes the EXISTENCE of values?
Average Value
Mean Value
Intermediate Value
Fundamental Theorem
5
What is the slope of the secant line known as?
Instantaneous rate of change
Derivative
The tangent line
Average rate of change
6
Increasing/Decreasing of an f(x) is determined by
First Derivative Test
Second Derivative Test
Mins and Maxs
Limits of f(x) values
7
This limit exists
False
True
8
How do you know a particle is speeding up or slowing down?
Velocity's sign
Acceleration's sign
Critically thinking with the information is the problem
Velocity and acceleration's signs
9
Proving continuity requires ALL BUT the following
Limit and Value are equivalent
It is differentiable
Proving the value exists on the function
Proving the limit exists
10
Find this anti-derivative.
1/3x^3 - 5/2x^2 + 6x + C
1/2x^2 - 5x + C
1/3x^3 - 5/2x^2 + 6x
2x - 5 + C
11
The slope of the tangent lines along a curve is also known as?
The derivative
The limit
Average rate of change
Concavity
12
Find this derivative.
35x^4 - (1/2)x^(-1/2)
7 + C
7x^4 - x^(-1/2)
0
13
Right Reimann sum is an overestimate when f(x) is
Concave Up
Increasing
Concave Down
Decreasing
14
Find the derivative of the function below.
18x^2 - 9 + C
18x^3 - 9x
18x^2 - 9
6x^2 - 9
15
Speed is expressed as
v(t)
The opposite of v(t)
When a(t) and v(t) have the same sign
Absolute Value of v(t)
16
When f'(x) changes from ________ to _________ you have a relative max on f(x)
Increasing, Decreasing
Negative, Positive
Positive, Negative
Decreasing, Increasing
