Derivatives: A Brief History

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Related lectures (54)

Fourier Transform: Derivatives and Formulas Log in to Mediaspace to watch this video

Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.

Differentiable Functions: Derivatives and Approximations Log in to Mediaspace to watch this video

Explores derivatives, Hessians, and Taylor approximations for differentiable functions.

Functions of Class C^p Log in to Mediaspace to watch this video

Explores functions of class C^p, emphasizing continuity and differentiability properties.

Distribution Interpolation Spaces Log in to Mediaspace to watch this video

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.

Curl of Vector Field and Path Integrals Log in to Mediaspace to watch this video

Explores the curl of a vector field and the calculation of path integrals in Cartesian coordinates.

Higher Derivatives, Taylor Introduction Log in to Mediaspace to watch this video

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

Advanced Analysis II: Differentiable Functions Log in to Mediaspace to watch this video

Explores differentiable functions, Taylor approximations, and directional derivatives in open sets.

Analytical Real Functions Log in to Mediaspace to watch this video

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

Derivatives of Composite Functions Log in to Mediaspace to watch this video

Covers derivatives of composite functions and the chain rule in calculus.

Derivatives: Definition and Examples Log in to Mediaspace to watch this video

Covers the definition of derivatives and provides examples of differentiable functions.

Advanced Analysis II: Multi-Index and Taylor Formula Log in to Mediaspace to watch this video

Explores multi-index, Taylor formula, partial derivatives, and remainders estimation in Taylor series.

Implicit functions theorem Log in to Mediaspace to watch this video

Explores the implicit functions theorem, showcasing examples of implicit differentiation and function definition.

Message passing in networks Log in to Mediaspace to watch this video

Explains message passing in networks, emphasizing probabilities and average edges between communities.

Partial Derivatives: Definitions and Interpretations Log in to Mediaspace to watch this video

Explores partial derivatives, their interpretations, and geometric applications in multivariable functions.

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