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derivat
A function which calculates the slope of a curve; that is, the slope of the tangent line to the graph of the function at that point. The derivative of a function f at a point x is commonly written f '(x). For example, if f(x) = x3 then f '(x) = 3x2. The slope of the tangent line when x = 5 is f '(x) = 3·52 = 75.
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