# Calculus AB example questions

15 videos

Many of you are planning on taking the Calculus AB advanced placement exam. These are example problems taken directly from previous years' exams. Even if you aren't taking the exam, these are very useful problem for making sure you understand your calculus (as always, best to pause the videos and try them yourself before Sal does).

### 2011 Calculus AB free response #1a

VIDEO
7:28 minutes

Determining whether speed is increasing. Difference between speed and acceleration

### 2011 Calculus AB free response #2 (a & b)

VIDEO
9:16 minutes

Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals

### 2011 Calculus AB free response #2 (c & d)

VIDEO
7:27 minutes

Second fundamental theorem of calculus application

### 2011 Calculus AB free response #3 (a & b)

VIDEO
8:13 minutes

Equation of a tangent line and area between curves

### 2011 Calculus AB free response #3 (c)

VIDEO
6:39 minutes

Disk method to find the volume of a solid generated by rotation of a function

### 2011 Calculus AB free response #4a

VIDEO
4:48 minutes

Taking derivatives and integrals of strangely defined functions

### 2011 Calculus AB free response #4b

VIDEO
13:15 minutes

Absolute maximum over an interval. Critical points and differentiability.

### 2011 Calculus AB free response #4c

VIDEO
4:24 minutes

Finding the points of inflection for a strangely defined function

### 2011 Calculus AB free response #5a

VIDEO
6:59 minutes

Using a tangent line to extrapolate a function from a known initial condition

### 2011 Calculus AB free response #5b

VIDEO
8:18 minutes

Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate

### 2011 Calculus AB free response #5c.

VIDEO
9:15 minutes

Solving a differential equation using separation of variables

### 2011 Calculus AB free response #6c

VIDEO
7:29 minutes

Average value of a piecewise-defined function on an interval