# Derivatives Articles

### The Pantheon of Derivatives – Part V

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Important Theorems - biased, of course Implicit Function Theorem [1] Jacobi Matrix (Chain Rule). Let ## (x_0,y_0 ) ## be a point in\$\$U_1…

### The Pantheon of Derivatives – Part IV

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Lie Derivatives A Lie derivative is in general the differentiation of a tensor field along a vector field. This allows several applications…

### The Pantheon of Derivatives – Part III

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Some Topology Whereas the terminology of vector fields, trajectories, and flows almost by itself suggests its origins and physical relevance,…

### The Pantheon of Derivatives – Part II

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Generalizations Beyond ##\mathbb{R}## and ##\mathbb{C}## As mentioned in the section on complex functions (The Pantheon of Derivatives - Part…

### The Pantheon of Derivatives – 5 Part Series

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Differentiation in a Nutshell I want to gather the various concepts in one place, to reveal the similarities between them, as they are often…

### Some Conceptual Difficulties in the Roles of Variables and Constants

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1. Variables and Constants When is a constant not a constant?  When it varies.In the standard equation ##y=ax+b##, we are used to thinking of x and…