Equally Spaced Multipoint Method for Numerical Differentiation

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The simplest numerical approximation of the derivative of a function at a point is given by the two-point formula: . Approximations involving more points can improve the accuracy of the derivative. Here the points are equally spaced.


Use the controls "number of points ", "spacing " and "value of ". The popup menu selects the function to differentiate.

The first column gives the exact analytic derivative of the function. The second column shows the two-point approximation, while the third shows the derivative using an approximation of order .


Contributed by: R. M. Jones (July 2019)
Open content licensed under CC BY-NC-SA



[1] Wikipedia. "Numerical Differentiation." (Jul 3, 2019) en.wikipedia.org/wiki/Numerical_differentiation.


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.