Finding Critical Numbers

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: https://www.youtube.com/watch?v=YNstP0ESndU Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8 _____________________________ Extreme Value Theorem: https://www.youtube.com/watch?v=Sx2lPZlnWfs Finding Critical Numbers: https://www.youtube.com/watch?v=Bp9EbV3COVA Local Maximum & Minimum: https://www.youtube.com/watch?v=WCq3sRzsJfs Absolute Extrema: https://www.youtube.com/watch?v=3wrXDw5ETh4 Rolle's Theorem: https://www.youtube.com/watch?v=LHym1ARc2cE ________________________________ Mean Value Theorem: https://www.youtube.com/watch?v=SL2RobwU_M4 Increasing and Decreasing Functions: https://www.youtube.com/watch?v=Dyl7jPlJXOM First Derivative Test: https://www.youtube.com/watch?v=G5wlKltW7pM Concavity & Inflection Points: https://www.youtube.com/watch?v=OhqNbQi9QPk Second Derivative Test: https://www.youtube.com/watch?v=G8GAsYkZlpE _________________________________ L'Hopital's Rule: https://www.youtube.com/watch?v=Gh48aOvWcxw Curve Sketching With Derivatives: https://www.youtube.com/watch?v=JTVNUdL7sWs Newton's Method: https://www.youtube.com/watch?v=-5e2cULI3H8 Optimization Problems: https://www.youtube.com/watch?v=lx8RcYcYVuU _______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections