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.

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

Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
http://mariosmathtutoring.teachable.com

For online 1-to-1 tutoring or more information about me see my website at:
http://www.mariosmathtutoring.com

* 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/free-math-videos.html

Видео What is a derivative? канала Mario's Math Tutoring