Lectures related to Rolle's Theorem and Derivatives

Explores derivability, continuity, and composite functions with illustrative examples.

Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

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

Covers real functions, continuity, and differential calculus, including the intermediate value theorem and derivatives.

Covers the demonstration of a theorem using mathematical expressions and hypotheses.

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

Covers the fundamental concepts of integrals and primitives, including properties and examples.

Covers derivatives pricing, replication, and interpretation, including examples of call options, forward contracts, and put options.