Derivative test

Related lectures (31)

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Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

Covers the concepts of convexity and concavity in functions with examples.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

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

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

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

Explains partial derivatives, generalization, and second order derivatives with examples and mathematical notations.

Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.

Discusses the continuity of the derivative function and presents a counterexample of a function that is not necessarily continuous.

Explores the derivative of a function, covering rules for deriving sums, products, and quotients.