It was developed during the 17th century.
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Leibniz.
Calculus is a branch of mathematics, not something tangible that can be made in a factory or lab. The Calculus we know today is the result of many mathematicians efforts over the course of hundreds of years. the two most notable people to contribute to modern calculus are Sir Isaac Newton and Gottfried Leibniz.
Calculus is made up of Trig and Algebra. Most people you ask will say that the hardest part of calculus is the algebra. The best advice I can give is to know your unit circle and Pythagoreans Theorem well.
Calculus; by a long shot.
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.