derivative in Chinese

(of more general classes of functions) Any of several related generalizations of the derivative: the directional derivative, partial derivative, Fréchet derivative, functional derivative, etc.

(of a function of a single variable f(x)) The derived function of f(x): the function giving the instantaneous rate of change of f; equivalently, the function giving the slope of the line tangent to the graph of f. Written f'(x) or \frac{df}{dx} in Leibniz's notation, \dot{f}(x) in Newton's notation (the latter used particularly when the independent variable is time).