3.5.1 Differentiation
Partial differentiation operations. This gives  .
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This gives the third derivative.
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You can differentiate with respect to any expression that does not involve explicit mathematical operations.
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D does partial differentiation. It assumes here that y is independent of x.
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If  does in fact depend on  , you can use the explicit functional form y[x]. Section 3.5.4 describes how objects like y'[x] work.
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Instead of giving an explicit function y[x], you can tell D that y implicitly depends on x. D[y, x, NonConstants->{y}] then represents  , with  implicitly depending on  .
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