Derivative and Function Variation

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Related lectures (38)

Derivability and Chain Rule Log in to Mediaspace to watch this video

Covers the demonstration of the chain rule and the theorem of Rolle.

Fundamental Solutions Log in to Mediaspace to watch this video

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Derivative of an Integral with Parameter Log in to Mediaspace to watch this video

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Differentiability and Derivatives Log in to Mediaspace to watch this video

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Geodesic Convexity: Theory and Applications Log in to Mediaspace to watch this video

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Derivative Chain Rule Log in to Mediaspace to watch this video

Covers the derivative of the composition of two functions and the chain rule theorem.

Taylor's approximation: Mean Value Theorem, l'Hopital rule, Examples Log in to Mediaspace to watch this video

Covers the Mean Value Theorem, l'Hopital rule, Taylor's approximation, and more.

Differential Calculus: Definition and Derivability Log in to Mediaspace to watch this video

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

Zig Zag Lemma Log in to Mediaspace to watch this video

Covers the Zig Zag Lemma and the long exact sequence of relative homology.

Optimal Transport: Rockafellar Theorem Log in to Mediaspace to watch this video

Explores the Rockafellar Theorem in optimal transport, focusing on c-cyclical monotonicity and convex functions.

Untitled Log in to Mediaspace to watch this video

Differentiability and Tangent Planes Log in to Mediaspace to watch this video

Explores differentiability, tangent planes, and algebraic derivatives in functions of two variables.

Untitled Log in to Mediaspace to watch this video

Functions of LR: Differentiability Log in to Mediaspace to watch this video

Explains differentiability in LR functions and introduces the Jacobian matrix.

Fixed Point Theorem: Convergence of Newton's Method Log in to Mediaspace to watch this video

Covers the fixed point theorem and the convergence of Newton's method, emphasizing the importance of function choice and derivative behavior for successful iteration.

Separable Extensions: Dedekind Rings Log in to Mediaspace to watch this video

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Dynamical System Theory for Engineers: Large Scale Stability Log in to Mediaspace to watch this video

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Partial Differential Equations Log in to Mediaspace to watch this video

Introduces partial differential equations, covering derivatives, special cases, transformations, and the Jacobian matrix.

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