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已知xy-sin(πy^2)=0 x^2y+siny^2=0求y的一阶导数
人气:230 ℃ 时间:2020-06-04 04:48:54
解答
  1. 两边对x求导:y+xy'-cos(πy2) (2πyy')=0      y'[x-2πycos(πy^2)]=-y

                          y' = 2πcos(πy^2) - x/y                  (1)

  2. 2xy+x^2 y'+ 2yy'cos(y^2)=0          y'[x^2+2ycos(y^2)]=-2xy

                          y' = -2xy / [x^2+2ycos(y^2)]           (2)

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