Taylor's Formula: Developments and Extrema

Related lectures (24)

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Discusses local extrema of functions in two variables around the point (0,0).

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Explains how to find local extrema of functions using derivatives and critical points.

Covers calculating with Taylor series and convexity concepts, including sin(x) and cos(x) approximations.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Covers the statement of the Bernoulli's Hospital Rule and its application.

Explores Taylor's formula, polynomials, functions, and series applications.

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.