In this video I go over derivative notation and more specifically Leibniz notation. I also go over a brief biography of the genius and renaissance man, Gottfried Wilhelm Leibniz. From theology to politics to mathematics, Leibniz was very versatile in his studies and his version of calculus which was published in 1684 established the notation and rules for finding derivatives that we use today!
Watch video on:
Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiL05UOtkeOi_531GoA?e=hmdw7B
View Video Notes Below!
Download these notes: Link is in video description.
View these notes as an article: @mes
Subscribe via email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donateReuse 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:
- #MESScience: https://mes.fm/science-playlist
- #MESExperiments: @mes/list
- #AntiGravity: @mes/series
-- See Part 6 for my Self Appointed PhD and #MESDuality breakthrough concept!- #FreeEnergy: https://mes.fm/freeenergy-playlist
NOTE #1: If you don't have time to watch this whole video:
- Skip to the end for Summary and Conclusions (if available)
- Play this video at a faster speed.
-- TOP SECRET LIFE HACK: Your brain gets used to faster speed. (#Try2xSpeed)
-- Try 4X+ speed by browser extensions or modifying source code.
-- Browser extension recommendation: https://mes.fm/videospeed-extension
-- See my tutorial to learn more: @mes/play-videos-at-faster-or-slower-speeds-on-any-website- Download and read video notes.
- Read notes on the Hive blockchain #Hive
- Watch the video in parts.
-- Timestamps of all parts are in the description.NOTE #2: If video volume is too low at any part of the video:
- Download this browser extension recommendation: https://mes.fm/volume-extension
Derivative Notation + Biography of Leibniz
Derivative Notation
If y = f(x) then the derivative can be written as:
Where the symbols D and d/dx are called differentiation operators because they indicate the operation of differentiation, which is the process of calculating a derivative.
- The symbol dy/dx was first introduced by Leibniz
- Simply a synonym for f’(x).
- Referred to as Leibniz notation.
- Very useful and suggestive.
The definition of derivative in Leibniz notation:
If we want to indicate the value of a derivative dy/dx in Leibniz notation at a specific number a, we write:
Which is a synonym for f’(a).
Brief Biography on Leibniz
- Gottfried Wilhelm Leibniz was born in Leipzig, Germany in 1646
- He studied law, theology, philosophy, and mathematics at the university there, graduating with a bachelor’s degree at the age 17.
- After earning his doctorate in law at age 20, Leibniz entered the diplomatic service and spent most of his life traveling to the capitals of Europe on political missions.
- In particular, he worked to avert a French military threat against Germany and attempted to reconcile the Catholic and Protestant churches.
- His serious study of mathematics did not begin until 1672 (about 26 years old) while he was on a diplomatic mission in Paris.
- There built a calculating machine and met scientists, like Huygens, who directed his attention to the latest developments in mathematics and science. Leibniz sought to develop a symbolic logic and system of notation that would simplify logical reasoning. In particular, the version of calculus that he published in 1684 established the notation and the rules for finding derivatives that we use today.
- Unfortunately, a dreadful priority dispute arose in the 1690s between the followers of Newton and those of Leibniz as to who had invented calculus first.
- Leibniz was even accused by plagiarism by members of the Royal Society in England.
- The truth is that each man invented calculus independently.
- Newton arrived at his version of calculus first but, because of his fear of controversy, did not publish it immediately.
- So Leibniz’s 1684 account of calculus was the first to be published.