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What is a derivative?

What is a derivative? Learn what a derivative is, how to find the derivative using the difference quotient, and how to use the derivative to find the equation of the tangent line. This is a free math video tutorial by Mario's Math Tutoring. Timestamps: 00:00 Intro 0:11 What is a Derivative 1:22 Finding the Slope Between 2 Points on a Curve 2:05 Difference Between the Average Rate of Change and the Instantaneous Rate of Change 2:34 Using Limits to Find the Instantaneous Rate of Change 3:15 What is the Difference Quotient 3:23 Notation for the Derivative 3:46 Example 1 Finding the Derivative of f(x)=x^2 Using Difference Quotient 5:02 Using the Derivative to Find the Slope at a Point 5:26 Writing the Equation of the Tangent Line at a Point 6:00 Example 2 f(x)=x^3 - 4x Finding the Derivative to Find the Relative Maximum and Minimums 7:40 Using the Difference Quotient to find the Derivative 7:57 Using the Binomial Expansion Theorem to Simplify 8:54 Setting the Derivative to Zero to Find Turning Points 9:35 Graphing the Polynomial With the Turning Points 10:07 Summary of What the Deriviative is, How to Find it, and How to Use It Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) http://www.mariosmathtutoring.com/fre... ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)    / @mariosmathtutoring