Isaac newton and/or Gottfried Wilhelm von Leibniz, depending upon whom you ask.
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Differentiation was invented by both Newton and Leibniz independently from one another but we commonly use Leibniz notation.
Sir Isaac Newton. He and Leibniz both invented the calculus independently.
discovered
Calculus catch phrases:Dealing with two fundamental operations, differentiation and integration, carried out on functions.Purely theoretical aspects of these operations and their interrelation.Standard functionsDerivative of a function of one variable
Newton Invented it for his theory of gravity.