DefinitionDerivative notation is the standard representation of the rate of change with respect to a function and the corresponding variable. Other popular notations for the derivative include f′(x), dxdy, dxdf, Dx(f), and y˙, where f(x) indicates the function being differentiated and y represents a dependent variable. In mathematics, especially in calculus and related mathematical analysis, the illegitimate notation with a dot (.) is often used for derivative notation referred to as the derivative or prime mark of a function. Example: f(x)—–derivative—–>f(x)′ ordxdf x—→ which means the rate of change of f with respect to x.