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Weird output for differential of a non-analytic complex function.

The following code,

var('z')
f = z*z.conjugate()
f.derivative(z)

produces

z*D[0](conjugate)(z) + conjugate(z)

Now I undestand where the problem might be, $z$ and $z^*$ are usually treated as independent variables thus. But does sage mean by this output?