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Lecture
Derivatives and Chain Rule
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Chain Rules
Explores the extension of the chain rule to higher dimensions and compositions of functions.
Advanced Analysis II: Derivatives and Functions
Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Derivatives and Tangents
Introduces derivatives, tangent lines, rules of differentiation, and practical examples.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivability and Chain Rule
Covers the demonstration of the chain rule and the theorem of Rolle.
Derivatives and Continuity
Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Derivative Composition Theorem
Covers the derivative of the composition of two functions and its applications.
Derivatives: Chain Rule and Composed Functions
Covers derivatives, chain rule, and composed functions with examples and applications.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Derivatives and Hyperbolic Functions
Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.