derivative definition

symbols, variables and units

x,h: independent variable and increment; f: function value; the unit of f′ is f unit divided by x unit.

applicable conditions and boundaries

The limit exists and is consistent on the left and right; non-differentiable points are not applicable.

formula source code

The following is a copyable LaTeX expression.

f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}

Reference and Extended Learning

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.