Vanishingly small increment or infinitesimally small interval can have symbol dx {differential}. dx = (x + delta_x) - x, as delta_x approaches zero. For function, df(x) = f(x + delta_x) - f(x), as delta_x approaches zero. Therefore, (f(x + dx) - f(x)) / ((x + dx) - x) ~ df(x) / dx or f'(x) and f(x + dx) ~ f(x) + f'(x) * dx ~ f(x) + df(x).
Mathematical Sciences>Calculus>Differentiation>Difference
3-Calculus-Differentiation-Difference
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Date Modified: 2022.0224