DifferenceQuotient

DifferenceQuotient[f, {x, h}] gives the difference quotient (f(x+h)-f(x))/h.

DifferenceQuotient[f, {x, n, h}] gives a multiple difference quotient with step h.

DifferenceQuotient[f, {x1, n1, h1}, {x2, n2, h2}, ...] computes the partial difference quotient.

Examples

Simple difference quotient:

DifferenceQuotient[f[x], {x, h}]
(* (f[h + x] - f[x])/h *)

Second-order quotient:

DifferenceQuotient[x^2, {x, 2, h}]
(* 2 *)

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