Multivariable Calculus 8 | Gradient [dark version]

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Here we define the gradient for a function.

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#Integral
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#Derivatives
#Mathematicspdt
#Lagrange

(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)

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It is sad that most students who take multivariable calculus dont get to see all this beautiful math, like just two things (viewing multivariablr functions as non-linear transformations between vector spaces and the idea of a total derivative) totally changes one's perspective on the whole subject and makes everything much clearer.

But sadly most courses dont go into that :(

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