If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

# 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 #4d

VIDEO 5:46 minutes
Mean Value Theorem and differentiability

### 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 #6a

VIDEO 4:23 minutes
Continuity of piecewise-defined functions

### 2011 Calculus AB free response #6b

VIDEO 5:15 minutes
Derivative of a piecewise-defined function

### 2011 Calculus AB free response #6c

VIDEO 7:29 minutes
Average value of a piecewise-defined function on an interval