It is difficult to provide an answer that does not sound tongue in cheek, but it is probably more true to say discovered first, and then developed, bringing into being a huge potential for mathematical advancement and the advances in science and engineering that became possible as a result.
There is still some historical debate as to the discoverer, but it is generally accepted (especially in England) that Newton discovered and developed the idea but did not publish. When Leibnitz then came up with a similar principle that was probably better organised and recognisable in our modern version of calculus, Newton announced his work and claimed the recognition that they both probably deserved.
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No, Newton and Leibniz independently developed calculus.
Calculus is around 350 years old. Newton developed it in his twenties. Which was in 1660.
It was developed during the 17th century.
Everything but notation. Newton calculus is a little under developed because of its once scarce use.
Calculus was independently discovered by Sir Isaac Newton and Gottfried Wilhelm Leibniz in the late 17th century. Newton developed his own system of calculus called "fluxions" and "method of fluents," while Leibniz developed his system of calculus based on differentials and integrals. Both their work laid the foundation for modern calculus.