Derivatives Rules: Notation, Extrema

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Explores derivatives, O-Notation, extrema, and algorithm complexity in Analysis 1.

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

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Covers differentiability, derivatives, continuity, and matrices in functions from R^n to R^m.

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Covers the derivative of the composition of two functions and the chain rule theorem.

Covers the derivative of the reciprocal function and its properties.

Explores the study of local minima and maxima through derivatives and sign changes.