# Double Calculus

@inproceedings{Lundstrom2021DoubleC, title={Double Calculus}, author={Patrik Lundstrom}, year={2021} }

We extend classical results from single variable calculus, such as Rolle’s theorem, the mean value theorem, Fermat’s extremum theorem, the first derivative test, and the fundamental theorem of calculus, to the context of two-variable functions. To this end, we introduce the notions of double continuous functions and double differentiable functions. Noteworthily, the Weierstrass extreme value theorem does not hold for double continuous functions; to prove a double Rolle’s theorem, we instead… Expand

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