AP Calc Review: Limits, Derivatives, & Vocab

Question 1

Find the derivative of f(x).

Accepted Answer

[B]

Question 2

What is the limit as x approaches 3?

Accepted Answer

Does not exist

Question 3

An instantaneous rate of change in a quantity is called...

Accepted Answer

Derivative

Question 4

What is the value of the limit shown below?

Accepted Answer

0

Question 5

Find the of the line tangent to g(x) at point A.

Accepted Answer

m = -5.5

Question 6

Does the graph of the function shown below have a horizontal asymptote? If so, what is it?

Accepted Answer

y=3

Question 7

The intended y-value (height) of a function at a particular x-value is...

Accepted Answer

Limit

Question 8

What is the value of the limit shown below?

Accepted Answer

± ∞

Question 9

Where is g(x) continuous?

Accepted Answer

(-∞, -1) U (-1, 2) U [2, ∞)

Question 10

Find the growth rate of the population in the year 2015.

Accepted Answer

increasing 850,000 per year

Question 11

What is the value of the limit shown below?

Accepted Answer

0

Question 12

Where is the graph not differentiable?

Accepted Answer

x = 2

Question 13

A net (overall) accumulation of change in a quantity is called...

Accepted Answer

Integral

Question 14

Find the derivative of p(x).

Accepted Answer

[A]

Question 15

Find velocity 2 seconds after launch.

Accepted Answer

-64 feet per sec

Question 16

What is the value of the limit as x approaches 3 from the RIGHT?

Accepted Answer

2

Question 17

If a function f is continuous on an interval [a, b] then if must be differentiable on [a, b].

Accepted Answer

FALSE

Question 18

At which x-values does the limit not exist?

Accepted Answer

x = -1, 1

Question 19

What is the limit definition of the derivative?

Accepted Answer

[D]

Question 20

Find the derivative of f(x).

Accepted Answer

[C]

Question 21

F.T.C. Part 1: The definite integral of f(x) from x=a to x=b is equal to F(a) - F(b).

Accepted Answer

FALSE

Question 22

All of these are types of Riemann sums, EXCEPT for:

Accepted Answer

Lower Quarter Point

Question 23

What is the derivative of f(x) = 8x3 - 2ex + secx ?

Accepted Answer

24x2 - 2ex + secx * tanx

Question 24

What is the value of the limit shown below?

Accepted Answer

1/4

Question 25

What is the value of the limit as x approaches -1 from the LEFT?

Accepted Answer

2

Question 26

What is the slope of the tangent of f(x) at point A?

Accepted Answer

m = -2

Question 27

Find the derivative of g(x).

Accepted Answer

[C]

Question 28

At which x-values are there jump discontinuities?

Accepted Answer

x = -1, 1

AP Calc Review: Limits, Derivatives, & Vocab

Questions 28

AP Calc Review: Limits, Derivatives, & Vocab

Questions 28