Directional Derivative: Definitions and Examples

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Covers the fundamentals of calculus, focusing on derivatives and integrals.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Covers the statement of the Bernoulli's Hospital Rule and its application.

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Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Explains partial and directional derivatives, and functions' derivability.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Demonstrates the practical application of theorems in calculus through two clever examples.

Covers the concept of functional derivatives and their calculation process with examples.

Presents the solution to finding the second-order Taylor polynomial of a function.