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answered 2017-02-20 11:04:15 +0100
What about
sage: var('t u v') (t, u, v) sage: x = function('x')(t) sage: y = function('y')(t) sage: w(u,v) = u^2 + v^2 sage: diff(w(x,y), t) 2*x(t)*diff(x(t), t) + 2*y(t)*diff(y(t), t)