What is a Derivative? Derivatives Explained

Опубликовано: 30 Октябрь 2024
на канале: John Estes Math
254
5

Why do we care about derivatives? Let's look at what a derivative is and why they are useful. (See More)

Table of Contents:
00:05 - Instantaneous Rate of Change
03:20 - Slope of the Tangent Line
05:18 - Definition of the Derivative
07:38 - Example 1, Find the Derivative
13:10 - Example 2, Another Rate of Change

Hey! I’m Dr. John Estes, Associate Professor of Mathematics at Belhaven University. I have been teaching mathematics professionally since 2008, and I love helping students understand the wonderful world of mathematics more.
I’ve made these videos as a resource for students, and I hope they help you with your studies.
Thanks for watching! SUBSCRIBE for updates.

WHAT ELSE YOU NEED TO KNOW:
1. What is a Limit?:
   • What is a Limit? An Example in Mathem...  

2. Limits from the Left and Right:
   • How to find Left and Right Handed Limits  

3. Limits that Go to Infinity:
   • Limits that Go to Infinity (or Negati...  

4. Solving Limits with Algebra:
   • Solving Limits with Algebra  

YOU MAY FIND THIS INTERESTING:
1. How to Know if a Derivative Exists:
   • How to Know if a Derivative Exists  

2. Find the Equation of a Tangent Line:
   • Find the Equation of a Tangent Line  

3. How Fast is the Object Traveling when It Hits the Ground?
   • How Fast is the Object Travelling whe...  

---------------------------------------------------------------------------------------------------------------------------------------------------------
Chordal meander 4 provided by Sub-d found free to download on Freesound.org https://freesound.org/people/Sub-d/so...

Synth arepegio delay provided by quetzalcontla found free to download on Freesound.org. https://freesound.org/people/quetzalc...