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