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Generate explicit formula for mth derivative

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Billy
Billy 2012 年 5 月 16 日
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))

採用された回答

Billy
Billy 2012 年 5 月 17 日
You can't.

その他の回答 (1 件)

Walter Roberson
Walter Roberson 2012 年 5 月 17 日
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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