DifferenceQuotient

DifferenceQuotient[f,{x,h}]

gives the difference quotient .

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 with respect to x1,x2,.

Details and Options

Examples

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Basic Examples  (1)

Compute the difference quotient for a function:

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Obtain the limit as h approaches 0:

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This limit is the derivative of the function:

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Scope  (16)

Options  (1)

Applications  (10)

Properties & Relations  (6)

Interactive Examples  (1)

Neat Examples  (1)

See Also

DifferenceDelta  D  DiscreteShift  DiscreteRatio  Differences  ReplaceAll

Introduced in 2016
(10.4)