Applications of Derivatives - Rolle's & Mean Value Theorem, Concavity, Critical & Inflection Points,

This calculus video tutorial focuses on applications of derivatives. It discusses formulas on average rate of change, instantaneous rate of change, slope of the secant line, tangent line, and normal line, critical points, inflection points, concavity, Rolle's theorem, mean value theorem, 1st and 2nd derivative test, l'Hôpital's rule, and newton's method. Derivative Applications - Free Formula Sheet: https://bit.ly/4eV6r1b Video Lessons by Chapter: https://www.video-tutor.net/ Final Exam 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'Hôpital'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