Derivative as a Function Example 2: y = x^3 - x

avatar
(Edited)

In this video I go over another example to better illustrate the derivative as a function as well as in implementing the definition of the derivative. The example I go over is finding the derivative of the function y = x3 - x.


Watch video on:

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiL5KSPQGWY7mYpSXkQ?e=62TjDW


View Video Notes Below!


Download these notes: Link is in video description.
View these notes as an article: https://peakd.com/@mes
Subscribe via email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donate

Reuse of my videos:

  • Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.

Fight back against censorship:

  • Bookmark sites/channels/accounts and check periodically
  • Remember to always archive website pages in case they get deleted/changed.

Join my private Discord chat room: https://mes.fm/chatroom

Check out my Reddit and Voat math forums:

Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
Follow along my epic video series:


NOTE #1: If you don't have time to watch this whole video:

NOTE #2: If video volume is too low at any part of the video:


Derivative as a Function: Example 2

Derivative as a function Example 2.jpeg

Example 2

(a) If f(x) = x3 – x, find a formula for f’(x) using the definition of a derivative.

(b) Illustrate by comparing the graphs of **f **and f’.

Solution

image.png

image.png

image.png



0
0
0.000