Multivariable Calculus 5 | Total Derivative

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Here we talk about the total derivative and the notion totally differentiable.

#MultivariableCalculus
#Analysis
#Integral
#Calculus
#Derivatives
#Mathematicspdt
#Lagrange

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)

[LucasDimoveo]

I just found out about the Total Derivative from wikipedia a few hours ago. My mind is completely blown!

[mastershooter]

the total derivative! the most general derivative in multivariable calc!

[ahmedamr]

Thanks for the great video!
I hear people refer to df_x sometimes as an exact differential. Would you have any comment on this?

[henkolsonpietersen]

I love you for this! My professor writes the material we use and his explanation are very, VERY succinct.

[nayjer]

Why we can't just take the usual definition, f'(x) = lim h->0 f(x+h)-f(x) / h ?

[plegasus]

What’s is your opinion of Amann and Escher analysis series?