Summary

Keywords

average velocity instantaneous velocity velocity calculus basic introduction derivatives function initial velocity position function velocity function quadratic formula maximum height

Full Transcript

This calculus video tutorial provides a basic introduction into average velocity and instantaneous velocity. It explains how to find the velocity function from the position function by finding the first derivative. It explains how to calculate the initial velocity of the object and the height of the building. It discusses how to determine how long it will take before the ball hits the ground using the quadratic formula and how long it will take to reach the maximum height as well as determining the maximum height from the ground. The average velocity represents the slope of the secant line of the position time graph and the instantaneous velocity if the slope of the tangent line to the graph. Derivatives Test Review - Playlist: https://bit.ly/4rkXTqz _________________________________ Derivative Applications - Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 ________________________________ Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s Equation of the Tangent Line: https://www.youtube.com/watch?v=5NyeGzbBJQM Derivatives - Horizontal Tangent Line: https://www.youtube.com/watch?v=aNfoxbMUOHk The Equation of The Normal Line: https://www.youtube.com/watch?v=lEF2mmR3CWU The Equation of The Secant Line: https://www.youtube.com/watch?v=680o1GL-LRg _________________________________ Average and Instantaneous Velocity: https://www.youtube.com/watch?v=AwxT1xjMP9g Instantaneous Rate of Change: https://www.youtube.com/watch?v=dvQdQLTnDpk Derivatives of Rational Functions: https://www.youtube.com/watch?v=qknoFdPwEco Derivatives of Radical Functions: https://www.youtube.com/watch?v=B1YkgNDbx5o Derivatives of Fractions: https://www.youtube.com/watch?v=qrBkQ8Ci2fM ________________________________ Derivatives - Higher Order: https://www.youtube.com/watch?v=s7rd9YPJrNc Simplifying Derivatives: https://www.youtube.com/watch?v=3lUOtjkqfQo Derivatives - The Product Rule: https://www.youtube.com/watch?v=17X5g9QArTc Derivatives - The Quotient Rule: https://www.youtube.com/watch?v=8jVDEcQ0wXk Derivatives - The Chain Rule: https://www.youtube.com/watch?v=HaHsqDjWMLU _______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections