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Given an Archimedean ordered field FF, the Newton–Leibniz operator or D operator D˜:D 1(F,F)→(F→F)\tilde{D}: D^1(F, F) \to (F \to F) is a function from the type of differentiable functions D 1(F,F)D^1(F, F) to the type of functions F→FF \to F. For any differentiable function f:D 1(F,F)f:D^1(F, F), the function D˜(f)\tilde{D}(f) is called the derivative of ff.
differentiable function
iterated differentiable function
smooth function
antiderivative
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