Analyse I: Derivatives and Continuity

Related lectures (29)

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

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.

Explores the geometric interpretation of derivatives and properties of derivable functions.

Explains partial and directional derivatives, and functions' derivability.

Covers the demonstration of the chain rule and the theorem of Rolle.

Explores reciprocal functions, strict monotonicity, and continuity in advanced analysis.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.