Critical Numbers (Critical Points) II The Complete Guide (Calculus 2 Foundations #3)

🎯 Now that you understand Fermat's Theorem, let's master the PRACTICAL skill: finding Critical Numbers! This is the essential "how-to" video that brings the theory to life. In this third installment of our Calculus 2 Foundations series, we break down Critical Points into a simple, step-by-step process you can use on any function.

Finding critical numbers is the single most important step in solving optimization problems, curve sketching, and analyzing function behavior. Consider this your ultimate toolkit.

📚 In this video, you'll get the complete guide:

00:00 - Introduction: From Fermat's Theorem to Action

The 3-Step Algorithm to Find ALL Critical Numbers

Worked Example #1 (Polynomial - Straightforward)

Common Mistakes & How to Avoid Them (Don't skip domain!)

How Critical Numbers Lead to Finding Local & Absolute Extrema

Preview: Using This for the First Derivative Test

◀️ PREVIOUS VIDEO: Fermat's Theorem: Why "Flat Spots" Reveal Local Extrema
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