difference quotient

名词 n.
中文释义

英文释义

名词 n.
  1. A mathematical quantity of the form (f(a+h)-f(a))/h for some function f(x), having two main interpretations:; The average rate of change of the function f(x) over the interval [a,,a+h]. As h approaches zero, the value of (f(a+h)-f(a))/h approaches the derivative or instantaneous rate of change of f(x) at x=a.
  2. A mathematical quantity of the form (f(a+h)-f(a))/h for some function f(x), having two main interpretations:; The slope of the secant line passing through the points (a,,f(a)) and (a+h,,f(a+h)). As the horizontal distance h>0 between the points approaches zero, the slope of this secant line approaches the slope of the tangent line to f(x) at x=a, which is equal to the derivative of f(x) at x=a.

词形变化

difference quotients plural
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