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Generate explicit formula for mth derivative

2 vues (au cours des 30 derniers jours)
Billy
Billy le 16 Mai 2012
I'd like to generate an explicit formula for the mth derivative of x^n, for example:
diff( x^n, x $ m )
The result in MuPad is d^m/dx^m( x^n ), but I want MuPad to write the explicit formula (which I believe is n!/(n-m)! x^(n-m))

Réponse acceptée

Billy
Billy le 17 Mai 2012
You can't.

Plus de réponses (1)

Walter Roberson
Walter Roberson le 17 Mai 2012
The older Maple symbolic engine can do this, yielding pochhammer(n-m+1, m)*x^(n-m)
I do not have access to MuPAD to test with.

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