This calculus video tutorial explains how to find the critical numbers of a function. These include trig functions, absolute value functions, rational functions, fractions, square roots and more. To find the critical number, find the first derivative of the function, set it equal to zero, and solve for x. If you have a fraction as a derivative, set the numerator and denominator of the fraction equal to zero and solve. Critical numbers occur when f'(c) = 0 or when f'(c) does not exist as in the case of a cusp. This calculus video contains plenty of examples and practice problems.

Introduction to Limits:
   • Calculus 1  Introduction to Limits  

Derivatives Fast Review:
   • Calculus 1  Derivatives  

Introduction to Related Rates:
   • Introduction to Related Rates  

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Extreme Value Theorem:
   • Extreme Value Theorem  

Finding Critical Numbers:
   • Finding Critical Numbers  

Local Maximum & Minimum:
   • Finding Local Maximum and Minimum Val...  

Absolute Extrema:
   • Finding Absolute Maximum and Minimum ...  

Rolle's Theorem:
   • Rolle's Theorem  

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Mean Value Theorem:
   • Mean Value Theorem  

Increasing and Decreasing Functions:
   • Increasing and Decreasing Functions ...  

First Derivative Test:
   • First Derivative Test  

Concavity & Inflection Points:
   • Concavity, Inflection Points, and Sec...  

Second Derivative Test:
   • Second Derivative Test  

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L'Hopital's Rule:
   • L'hopital's rule  

Curve Sketching With Derivatives:
   • Curve Sketching  Graphing Functions ...  

Newton's Method:
   • Newton's Method  

Optimization Problems:
   • Optimization Problems  Calculus  

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