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NonConstants
NonConstants is an option for D which gives a list of objects to be taken to depend implicitly on the differentiation variables.
If c does not appear in the list of NonConstants, then D[
c
,
x
] is taken to be 0 unless c and x are identical expressions.
See the Mathematica book: Section 3.5.1.
See also: Dt.
Further Examples
Normally, if you differentiate a function with respect to x, say, Mathematica will treat all other parameters as constants.
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By specifying that t depends upon x, you can get the desired result for such expressions.
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