Derivative and Local Extrema Study

Related lectures (30)

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Covers the computation of derivatives and the properties of differentiable functions.

Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.

Explores the conditions for continuity and differentiability of functions on a closed interval.

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

Covers differentiable functions, derivatives, and tangent planes in mathematics.

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.

Explores directional derivatives in two-variable functions and extremum points.

Introduces the study of functions defined by power series and emphasizes the importance of separately considering boundary points.

Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.

Covers higher derivatives, local extrema, and the application of Rolle's and Mean Value Theorems.