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Concept

Chain rule

Related lectures (31)

Covers the differentiation of vector fields along curves with examples and finite differences.

Covers the derivative of the composition of two functions and its applications.

Explores differentiability for functions and matrices, covering partial differentiability, the Jacobean matrix, and the chain rule.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Covers the principles of linear MM SE estimation and the minimization of errors in linear regression.

Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.

Introduces derivatives, tangent lines, rules of differentiation, and practical examples.

Explores optimization basics such as norms, convexity, and differentiability, along with practical applications and convergence rates.

Covers derivatives, chain rule, and composed functions with examples and applications.

Explores the chain rule for compositions of differential functions in higher dimensions, emphasizing gradients and directional changes.

Explores Taylor expansions and retractions on Riemannian manifolds, emphasizing second-order approximations and covariant derivatives.

Explores convexity, Jacobians, subdifferentials, and convergence rates in optimization and function analysis.

Covers integration by change of variables and the derivation in chain rule.

Covers derivatives, chain rule, function development, and primitive functions for integration.

Explores partial differentiability, the chain rule, and invertibility of vector fields.

Explores parallel transport along loops and covariant derivatives induced by metrics.

Explores differentiability in two variables and the chain rule for compositions.

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

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.