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Generalizations of the derivative
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Related lectures (30)
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Partial Derivatives and Functions
Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Partial Derivatives: Derivability
Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Properties of Weak Derivatives
Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.