Derivatives in Mathematica & Wolfram Language
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Derivatives, along with integrals, are one of the cornerstone topics in Calculus. Mathematica makes quick work of them. In this video, we'll discuss various ways to compute derivatives. This is a quick introduction to get you started, as well as a peek at some of the more advanced capabilities of Mathematica.
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MATHEMATICA ESSENTIALS by Socratica
Derivatives in Mathematica
0:00 Using the D function for derivatives
1:00 Using the prime notation
1:30 Partial derivatives
2:49 Symbolic differentiation
3:49 Undefined functions
4:16 Rules of differentiation are obeyed
4:56 Advanced examples
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Written & Produced by Michael Harrison & Kimberly Hatch Harrison
Edited by Megi Shuke
About our Instructors:
Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.
Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor.
Michael and Kimberly Harrison co-founded Socratica.
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Mathematica Essentials - the first PRO COURSE from Socratica Buy here: www.socratica.com/courses/mathematica-essentials
Thank you for this tutorial. Let me mention here that the D function can be used to calculate two very cool matrices: - Jacobian: D[f[x,y], {{x,y}}] - Hessian: D[f[x,y], {{x,y}, 2}]
This is the first notification from your channel in well over a year. Out of curiosity I looked at your channel and see you have many videos posted since then. I thought you should know that even though I am subscribed with notifications on I haven't seen one from you in a very long time. Glad to know you are still around.
@Socratica
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Thank you for letting us know. We've heard this from other creators as well - there are so many hoops to jump through for you to actually get notified about all the videos from the creators you're subscribed to. That's why we're trying to grow our email list, so we can send out a (usually monthly) notice to subscribers about new content. Here's the link, and thanks again! snu.socratica.com/join
@AtomkeySinclair
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@@Socratica Excellent. Thanks for the reply and info :)
I just noticed recently, this is best watched while wearing earphones.
Congrats for making it to 2023 guys, great vid.
@Socratica
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Thank you kind friend! Happy New Year to you!
This is great stuff! well done!
Very informative. Request you to keep the fonts of whatever you write a little bit bigger. Everyone has not got a great eyesight to see this.
@fizixx
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Not just that. Some of us use mobile devices, which I'm using now. The text can be a bit small.
I miss you so much
Suggestion - use a larger character set. Like it is now the characters are hard to read on a mobile. In this example there were very few lines which filled more than half of the screen horizontally. So could be double? Thanks.
Real facts ☑️✅✔️👈👈💯
How are you making these videos?? What are the softwares needed?
@ASTATEPACH
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I’m not sure what they use but KZreadr 3blue1brown uses his own software that’s open source called Manin
Plz, do more and more accent on the structure of the Wolfram language. At least, occasionally...
Nice.
👏👏