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Lecture
Derivatives and Continuity
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Related lectures (26)
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Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Derivability and Continuity
Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.
Implicit Functions Theorem
Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.
Advanced Analysis II: Differentiability and Continuity
Explores differentiability and continuity in advanced analysis with examples and counterexamples.
Derivatives and Functions
Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.
Differentiation and Coordinate Changes in Multivariable Functions
Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Fundamental Analysis: Integrals and Primitives
Covers the fundamental concepts of integrals and primitives, including properties and examples.
Introduction to Derivatives
Introduces derivatives, forward contracts, options, and their financial uses.