Derivative and Function Variation

Related lectures (31)

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Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Covers the demonstration of the chain rule and the theorem of Rolle.

Explains the inverse function identity and provides examples with ln(x), sin(x), and cos(x).

Explores derivatives, local extrema, and function variation in mathematical analysis.

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Covers the derivative of an integral with parameter-dependent bounds and the gradient.

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

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.