Multivariable Calculus 5 | Total Derivative
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2 жыл бұрынFind more here: tbsom.de/s/mc
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This is my video series about Multivariable Calculus also known as Analysis with more variables or in higher dimensions. I hope that it will help everyone who wants to learn about it. We discuss partial derivatives, the nabla operator, gradient, Jacobians, Hessian, and so on. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: tbsom.de/s/community
#MultivariableCalculus
#Analysis
#Integral
#Calculus
#Derivatives
#Mathematics
Here we talk about the total derivative and the notion totally differentiable.
(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
The Bright Side of Mathematics has whole video courses about different topics and you can find them here tbsom.de/s/start
@LucasDimoveo Жыл бұрын
I just found out about the Total Derivative from wikipedia a few hours ago. My mind is completely blown!
@mastershooter64 2 жыл бұрын
the total derivative! the most general derivative in multivariable calc!
@AJ-et3vf 2 жыл бұрын
Great video! Thank you!
@plegasus7308 2 жыл бұрын
What’s is your opinion of Amann and Escher analysis series?
@theoremofnik 2 жыл бұрын
total tolles video
@henkolsonpietersen2242 4 ай бұрын
I love you for this! My professor writes the material we use and his explanation are very, VERY succinct.
@brightsideofmaths 4 ай бұрын
Nice :) And thanks for the support!
@henkolsonpietersen2242 4 ай бұрын
@@brightsideofmaths I promise that once I'm no longer a broke student, I will support you financially
@brightsideofmaths 4 ай бұрын
@@henkolsonpietersen2242 Thank you very much :)
@ahmedamr5265 4 ай бұрын
Thanks for the great video! I hear people refer to df_x sometimes as an exact differential. Would you have any comment on this?
@brightsideofmaths 4 ай бұрын
Thanks! This is discussed in the manifold series :) See here: tbsom.de/s/mf
@kurrennischal235 Жыл бұрын
Great video, thank you
@brightsideofmaths Жыл бұрын
Glad you liked it! And thanks for the support :)
@nayjer2576 Жыл бұрын
Why we can't just take the usual definition, f'(x) = lim h->0 f(x+h)-f(x) / h ?
@brightsideofmaths Жыл бұрын
How to divide the vector h?
@nayjer2576 Жыл бұрын
@@brightsideofmaths II h II *
@brightsideofmaths Жыл бұрын
@@nayjer2576 So what is the difference to the video then?
@nayjer2576 Жыл бұрын
@@brightsideofmaths Is the problem that we have multiple directions for the vector h and each differential could be different? That would be the idea of the directional derivative, right?
@brightsideofmaths Жыл бұрын
@@nayjer2576 Yes, the total derivative has to cover all directions.
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