э^2 z/эx^2=12x^2;
э^2 z/эy^2=12y^2;
э^2 z/эxэy=-4.
эz/эx=4x^3-4y;эz/эy=4y^3-4x;
所以:
э^2 z/эx^2=э(эz/эx)/эx=э(4x^3-4y)/эx=4*3x^2=12x^2;
э^2 z/эy^2=э(эz/эy)/эy=э(4y^3-4x)/эy=4*3y^2=12y^2;
э^2 z/эxэy=э(эz/эy)/эx=э(4y^3-4x)/эx=-4.
求函数z=x^4+y^4-4xy的二阶偏导数э^2 z/эx^2 ,э^2 z/эy^2 ,э^2 z/эxэy
求函数z=x^4+y^4-4xy的二阶偏导数э^2 z/эx^2 ,э^2 z/эy^2 ,э^2 z/эxэy
数学人气：155 ℃时间：2020-05-26 05:17:41
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