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Lecture
Derivatives: Definition and Examples
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Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Differentiability and Derivatives
Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.
Definition of Differentiable Functions
Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.
Differentiable Functions: Definitions and Properties
Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Partial Derivatives and Differential Equations
Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.
Functions and Coordinate Changes
Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.