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下面简记f = f((x^2 + y^2)^(1/2)); f' = f'((x^2 + y^2)^(1/2));两边对x求导,-1/f^2*f'*(1/2)*(x^2 + y^2)^(-1/2)*(2*x + 2*y*y') = 1/(1+y^2/(x^2))*(y'*x-y)/x^2; 整理得,y' = (y*f^2 - x*f'*(x^2 + y^2)^0.5)/(x*f^2 + y* f' *(x^2 + y^2)). dy = (y*f^2 - x*f'*(x^2 + y^2)^0.5)/(x*f^2 + y* f' *(x^2 + y^2))*dx.
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