Differentiable Functions: Derivatives and Approximations

Related lectures (22)

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

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

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

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

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

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

Explores Hessians, directional derivatives, and function continuity in advanced analysis.

Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

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