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Assuming that you have defined f[a_, cs_List, ts_List] := cs.Exp[-(ts - a)^2] setting dfd2 := D[f[a, {c1, c2, c3}, {t1, t2, t3}], t1] defines dfd2 without taking into consideration the current value of f. You can inspect the definition of dfd2 by evaluating ?dfd2, which returns exactly what you typed above. Then, whenever dfd2 is evaluated, it looks ...

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