Il giorno mercoledì 31 ottobre 2018 10:11:34 UTC+1, Francesco ha scritto:
>
> Hello; I have installed sage 8.4 and I have problem with the derivatives
> ...
> I have defined a function in sage of this type:
>
> x=var('x')
> def funz(x):
> if x >= 0:
> return x^2
> else:
> return x^3
>
> but, when I try to calculate
>
> diff(funz(x),x)
>
> I obtain only
>
> 3x^2
>
> and this is wrong !! Can you help me ?
>
Ok, the piecewise-defined functions can be written with the sign(x)
function. The funz(x) can be written as:
funz(x)=(x^2)*(sign(x)+1)/2+(x^3)*(-sign(x)+1)/2
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