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/


