Non-analytic smooth function

Related lectures (32)

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

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores integration techniques and variable transformations for calculating integrals.

Explores stationary points in analytical functions and their significance in mathematical analysis.

Covers the derivative of the reciprocal function and its properties.

Explores obtaining n-th derivatives through a recursive process and the regularity of functions defined by power series.

Explores analytical real functions, focusing on series expansion and properties of u(x) in different neighborhoods.

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

Explores integration by substitution technique with examples and verification.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.