Taylor Series: Expansion and Properties

Related lectures (28)

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Explores finding the equation of the tangent line to a function's graph at a point.

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

Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.

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

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

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

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 and continuity of functions, showcasing examples of functions with differentiability properties.