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求函数Z=ln(x+y2)的偏导数az/ax.az/ay及全微分.
人气:102 ℃ 时间:2020-04-25 11:31:05
解答
ez/ex
=1/(x+y^2) *1
=1/(x+y^2)
ez/ey=1/(x+y^2)* (2y)
=2y/(x+y^2)
dz=ez/ex dx+ ez/ey dy
=1/(x+y^2) dx+ 2y/(x+y^2) dy
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