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Generalizations of the derivative
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Related lectures (30)
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Partial Derivatives and Functions
Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.
Distribution Interpolation Spaces
Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.
Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
Differential Functions: Derivability and Gradient
Explores differentiability in functions and the role of gradients in directional derivatives.
Introduction to Derivatives
Introduces derivatives, forward contracts, options, and their financial uses.
Derivatives and Tangent Planes
Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Partial Derivatives and Gradient
Covers partial derivatives, gradient, and second partial derivatives with their applications.
Partial Derivatives: Generalization and Order 2
Explains partial derivatives, generalization, and second order derivatives with examples and mathematical notations.
Exact Linearization: Earth Dynamics and Stabilization
Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.
Tangent Planes and Implicit Functions
Explores tangent planes, implicit functions, and directional derivatives in relation to graphs of functions.