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Johann Bernoulli

The life of Johann Bernoulli - Toxic Genius and Stolen Calculus


Brachistochrone Problem

Finding the curve of fastest descent between two points.

\[ \frac{\sin \theta}{\sqrt{v}} = \text{constant} \implies y(1 + (y')^2) = C \]

L'Hôpital's Rule

Taught to L'Hôpital by Johann Bernoulli (for a fee).

\[ \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)} \]

Sources: https://mathshistory.st-andrews.ac.uk/Biographies/Bernoulli_Johann/

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