Derivative: Derivation Rules

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

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores finding the equation of the tangent line to a function's graph at a point.

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

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

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.

Explores derivability, continuity, and composite functions with illustrative examples.

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

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