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Which CAS can do basic non-commutative differential algebra?

Does this fit your desires? This is Mathematica code: D[(1 + f[t]) ** (1 + f[t]), {t, 2}] Out:=(1 + f[t]) ** f''[t] + 2 f'[t] ** f'[t] + f''[t] ** (1 + f[t]) Operation ** is non-commutative multipli …
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