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Born in Basel, Switzerland, I began studying medicine but switched to study mathematics under my brother Jacob.

I "mentored" L'Hopital and, for a price, was the author of his text on calculus.

I sided with Leibniz in the controversy against Newton relative to the creation of calculus.

My mathematical discoveries include solutions to the cantenary problem, the brachystochrone problem, the calculus of variations, and my special treatment of trigonometry as a branch of calculus.

Finally, I am known for quarreling with my brother Jacob over the rights to priority for MY mathematical discoveries.

Answer: Johann (or Jean) Bernoulli (1667 - 1748)