Increasing and Decreasing Functions - Calculus

This calculus video tutorial provides a basic introduction into increasing and decreasing functions. This video explains how to use the first derivative and a sign chart to determine the intervals where the function is increasing and decreasing and how to express the answer using interval notation with the help of a number line. The function is increasing whenever the first derivative is positive or greater than zero. The function is decreasing whenever the first derivative is negative or less than zero. Derivative Applications - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Functions - Free Formula Sheet: https://www.video-tutor.net/precalculus-formula-sheets.html Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 ____________________________ 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