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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 is taken to be unless c and x are identical expressions.

Here c is treated as a constant under differentiation:

Specify that c depends implicitly on x:

Specify that both c and d depend implicitly on x:

Here c is treated as a constant under differentiation:

Out[1]=

Specify that c depends implicitly on x:

Out[2]=

Specify that both c and d depend implicitly on x:

Out[3]=

NonConstants allows D to emulate Dt:

Constants allows Dt to emulate D: