u=(x-y)^z,z=x^2+y^2,求u对x的偏导数是(x-y)^(x^2+y^2)[ln(x-y).2x(x-y)+x^2+y^2],主要是u里面有x不知道怎么搞,还有在空间坐标系中怎么求点到直线的距离.
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u=(x-y)^z,z=x^2+y^2,求u对x的偏导数是(x-y)^(x^2+y^2)[ln(x-y).2x(x-y)+x^2+y^2],主要是u里面有x不知道怎么搞,还有在空间坐标系中怎么求点到直线的距离.
u=(x-y)^z,z=x^2+y^2,求u对x的偏导数
是(x-y)^(x^2+y^2)[ln(x-y).2x(x-y)+x^2+y^2],主要是u里面有x不知道怎么搞,还有在空间坐标系中怎么求点到直线的距离.
u=(x-y)^z,z=x^2+y^2,求u对x的偏导数是(x-y)^(x^2+y^2)[ln(x-y).2x(x-y)+x^2+y^2],主要是u里面有x不知道怎么搞,还有在空间坐标系中怎么求点到直线的距离.
1、u=(x-y)^z, 取对数
lnu=zln(x-y), 对x求导
u'/u=z'ln(x-y)+z/(x-y)
z=x^2+y^2, 对x求导
z'=2x
∴du/dx=u'=u*[z'ln(x-y)+z/(x-y)]
=(x-y)^(x^2+y^2)*[2xln(x-y)+(x^2+y^2)/(x-y)]
=(x-y)^(x^2+y^2-1)*[2x(x-y)ln(x-y)+(x^2+y^2)]
你那个答案少了点东西
2、空间点到直线的距离公式:
空间点P(x0,y0,z0)到空间直线Ax+By+Cz+D=0的距离为:
d=|A*x0+B*y0+C*z0+D|/[√(A^2+B^2+C^2)]
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