Hmmm...try again:
>>> var('r:4 m2')
(r0,r1,r2,r3,m2)(r0,r1,r2,r3,m2)
>>> m=sqrt(m2)
>>> _m2 = r0**2 + r1**2 + r2**2
>>> m.diff(m2)*_m2.diff(r0)
r0√m2r0m2
>>> (m.diff(m2)*_m2.diff(r0)).xreplace({m2:_m2})
r0√r20+r21+r22r0r02+r12+r22
>>> sqrt(r0**2+r1**2+r2**2).diff(r0)
r0√r20+r21+r22r0r02+r12+r22
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