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Lecture
Derivative: Derivation Rules
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Related lectures (38)
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
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Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Inverse Function Identity
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Discusses conditions for functions to be strictly increasing or decreasing based on the derivative.
Power Functions: Properties and Derivatives
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Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Partial Derivatives: Derivative of an Integral with Parameter-dependent Bounds
Covers the derivative of an integral with parameter-dependent bounds and the gradient.
Linear Independence: The Wronskian Concept
Explains the Wronskian and its role in determining linear independence of solutions to differential equations.
Partial Derivatives: Derivability
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Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Derivative of an Integral with Parameter
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Covers deriving integrals with parameters and their derivatives, including special cases and proofs.
Derivability and Chain Rule
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Covers the demonstration of the chain rule and the theorem of Rolle.
Derivability and Continuity
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Explores derivability, continuity, and composite functions with illustrative examples.
Differentiability and Derivatives
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Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.
Fourier Transform: Properties and Applications
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Covers the properties and applications of the Fourier transform and its relation to Heisenberg's uncertainty principle.
Differentiation and Coordinate Changes in Multivariable Functions
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Discusses differentiation of multivariable functions and coordinate transformations, including polar and cylindrical coordinates, along with the Laplacian operator and its applications.
Distributions and Derivatives
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Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Differentiability: Partial Derivatives and Hessiennes
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Explains partial derivatives, Hessienne matrix, and their properties.
Calculus of Variations: Some Topics
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Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.
Computing Derivatives: Derivatives and Algebraic Operations
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Covers the computation of derivatives and the properties of differentiable functions.
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