Taylor Series: Derivatives and Approximations

Related lectures (28)

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

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Covers the concept of developing limited functions and includes physical examples.

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

Explores the corollary of Taylor's formula for function approximation around a point.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Covers mathematical reminders on derivatives, primitives, and integrals, including common functions and Taylor series expansions.

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.

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