Forward difference approximation of the first derivative

Approximates the derivative of a function at a point by the slope of a secant line over a small step h forward from that point. It is the basic formula of the finite difference method and is used when the derivative cannot be computed exactly.

f'(x_0) \approx \frac{f(x_0 + h) - f(x_0)}{h}

What the symbols mean

the function being differentiated
the point at which the derivative is approximated
the step size, a small positive increment

About this formula

  • FieldMathematics
  • TopicNumerical differentiation
  • LevelUniversity
  • Also calledforward difference formula, finite difference derivative, first derivative numerical approximation, forward difference quotient, numerical derivative, Finite-difference methods
  • SourceWikidata Q1147751

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