Topic: Critical Points and Monotonicity

Local Extrema of Exponential and Logarithmic Functions

Generating Candidates for Closed-Interval Extrema

Fermat’s Theorem for Interior Extrema

Extrema on Open or Unbounded Intervals

Endpoint Extrema and One-Sided Behavior

Diagnosing Sign-Chart and Endpoint Errors

Derivative Signs and Monotonicity

Cusps and Critical Numbers in Absolute-Value Functions

Critical Numbers of Radical Functions

Critical Numbers of Rational Functions