Differentiability and Derivatives

Related lectures (25)

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Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.

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

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

Explores differentiability in two variables and the chain rule for compositions.

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

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

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

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.