Determining Absolute Extrema on an Open or Unbounded Interval
Learn how to determine absolute extrema on open, half-open, and unbounded intervals using critical points, endpoint behavior, limits, and the Extreme Value Theorem for AP Calculus AB & BC.
Determining Absolute (Global) Extrema on a Closed Interval
Learn how to determine absolute (global) maximum and minimum values on a closed interval using the Extreme Value Theorem, critical points, and endpoint testing.
Connecting a Function, Its First Derivative, and Its Second Derivative
Learn how a function, its first derivative, and its second derivative are connected through increasing and decreasing behavior, extrema, concavity, and inflection points in AP Calculus AB & BC.
Behavior of Implicit Relations Using Derivatives
Learn how to use implicit differentiation and derivatives to analyze the behavior of implicitly defined relations, including increasing and decreasing intervals, extrema, and tangent lines for AP Calculus AB & BC.
Applying the Mean Value Theorem
How to apply the Mean Value Theorem to find guaranteed points where the instantaneous rate of change equals the average rate of change for AP Calculus AB & BC.
Analyzing Families of Functions with a Parameter
Learn how to analyze families of functions with a parameter, including critical points, extrema, increasing and decreasing behavior, and parameter values for AP Calculus AB & BC.