Derivatives and Solutions

Related lectures (28)

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Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers weak derivatives, their properties, and applications in functional analysis.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Explores the application of Bernoulli's Rule and L'Hôpital's Rule in finding limits of functions.

Explores differentiating under the integral sign and continuity of functions in integrals.

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Covers the theorem of the intermediate value, corollaries, and geometric interpretation of derivatives.