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Calculus AB example questions
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).
Determining whether speed is increasing. Difference between speed and acceleration
Approximating rate of change and total area under a curve. Trapezoidal sums to approximate integrals
Second fundamental theorem of calculus application
Equation of a tangent line and area between curves
Disk method to find the volume of a solid generated by rotation of a function
Taking derivatives and integrals of strangely defined functions
Absolute maximum over an interval. Critical points and differentiability.
Finding the points of inflection for a strangely defined function
Mean Value Theorem and differentiability
Using a tangent line to extrapolate a function from a known initial condition
Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate
Solving a differential equation using separation of variables
Continuity of piecewise-defined functions
Derivative of a piecewise-defined function
Average value of a piecewise-defined function on an interval