On Monday, September 22, 2014 9:16:08 AM UTC-7, Nils Bruin wrote:

sage: bessel_K(3,x).diff(x)
> 1/2*bessel_K(4, x) + 1/2*bessel_K(2, x)
> sage: SR(maxima_calculus(bessel_K(3,x)).diff(x))
> -1/2*bessel_K(4, x) - 1/2*bessel_K(2, x)
>
> Given that bessel_K(3,x) is not a constant function, at least one of those 
> answers must be wrong.
>

The formula is hard-coded in sage.functions.bessel.py  as 
Function_Bessel_K._derivative_ (line 843). Fixing should be a one character 
edit.

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