Analyse I: Derivatives and Continuity

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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

Explores finding the equation of the tangent line to a function's graph at a point.

Covers the generalization of the TAF theorem, lateral derivatives, limits of derivatives, and indeterminacy.

Explores derivability and function composition with examples.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores generalized finite increments, derivatives, reciprocals, and Bernoulli-L'Hospital rule.

Explores differentiability in functions and the role of gradients in directional derivatives.

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

Explores derivatives and approximations, focusing on logarithmic functions and their properties.