gives a numerical approximation to the derivative of expr with respect to x at the point .
gives a numerical approximation to the derivative of expr.
- To use , you first need to load the Numerical Calculus Package using Needs["NumericalCalculus`"].
- The expression expr must be numeric when its argument x is numeric.
- is equivalent to .
- is unable to recognize small numbers that should in fact be zero. Chop may be needed to eliminate these spurious residuals.
- The following options can be given:
Method EulerSum method to use Scale 1 size at which variations are expected Terms 7 number of terms to be used WorkingPrecision MachinePrecision precision to use in internal computations
- Possible settings for Method include:
EulerSum use Richardson's extrapolation to the limit NIntegrate use Cauchy's integral formula
- With Method->EulerSum, needs to evaluate expr at .
- If expr is not analytic in the neighborhood of , then the default method must be used.
- The option Scale->s is used to capture the scale of variation when using Method->EulerSum.
- When the value of the derivative depends on the direction, the default is to the right. Other directions can be chosen with the option Scale->s, where the direction is s.
- The option Terms->n gives the number of terms to use for extrapolation when using Method->EulerSum.
- With Method->NIntegrate, the expression expr must be analytic in a neighborhood of the point .
- The option Scale->r specifies the radius of the contour of integration to use with Method->NIntegrate.