Differentiable Functions in R²

Related lectures (26)

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

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

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

Covers differentiable functions, derivatives, and tangent planes in mathematics.

Explores the definition of connections for smooth vector fields on manifolds.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Covers the derivative of the reciprocal function and its properties.

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

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores derivability, continuity, and composite functions with illustrative examples.