AP Calc AB Chapter 1-3 Review

Question 1

What type of discontinuity is this?

Accepted Answer

Jump

Question 2

If the velocity is 4x3 then acceleration is…

Accepted Answer

12x2

Question 3

What is the value of the derivative at a point at which a function has a relative extrema?

Accepted Answer

0 or undefined

Question 4

What is the derivative of sin(x)?

Accepted Answer

cos(x)

Question 5

What is the average rate of change of f(x) on [a,b]?

Accepted Answer

[f (b) - f (a) ] / (b - a)

Question 6

What is NOT a condition for the Mean Value Theorem (MVT)?

Accepted Answer

f(a) = f(b)

Question 7

What happens at an inflection point?

Accepted Answer

f '' changes from + to - or - to +

Question 8

Find the equation for the tangent line to the graph of f(x)=x^3+3x+2 at the point (1,6).

Accepted Answer

y=5x+1

Question 9

If f '(5) = 0 and f ''(5) < 0 then…

Accepted Answer

f has a rel. max at x=5

Question 10

If limx->a f(x) = L, which of the following must be true?

Accepted Answer

II and III only

Question 11

The derivative of a linear function is a ________ equal to its _____.

Accepted Answer

constant, slope

Question 12

Find the limit.

Accepted Answer

12

Question 13

When f ' changes from positive to negative, then f has:

Accepted Answer

a relative maximum

Question 14

What is the power rule for derivatives?

Accepted Answer

nxn-1

Question 15

What are all of the possibilities where f is not differentiable?

Accepted Answer

discontinuity, sharp turn, or vertical tangent

Question 16

Which of the following is NOT a requirement for f to be continuous at x=c.

Accepted Answer

f(x) is a polynomial

Question 17

If f '(x) < 0 then…

Accepted Answer

f(x) is decreasing

Question 18

What are the vertical asymptotes of the following function?

Accepted Answer

x=2

Question 19

If f ''(x) < 0 then…

Accepted Answer

f(x) is concave down

Question 20

For which of the following does limx->4f(x) exist?

Accepted Answer

I and II

Questions 20