Derivatives and Limits: Generalization and Indeterminacy

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

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

Explores generalized finite increments, derivatives, reciprocals, and Bernoulli-L'Hospital rule.

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

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

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

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Explores the consequences of derivatives and the constancy of functions.

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

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