求一阶偏导数：z=arctan√(x^y )

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求一阶偏导数：z=arctan√(x^y)求一阶偏导数：z=arctan√(x^y)求一阶偏导数：z=arctan√(x^y)z''(x)=1/[1+(x^y)]*1/2√(x^y)*yx^(y-1)=

求一阶偏导数：z=arctan√(x^y )
求一阶偏导数：z=arctan√(x^y )

求一阶偏导数：z=arctan√(x^y )
z'(x)=1/[1+(x^y)] * 1/2√(x^y) * yx^(y-1) =yx^(y-1) / {2√(x^y)[1+(x^y)] }
z'(y)=1/[1+(x^y)] * 1/2√(x^y) * lnx *x^y=(x^y) *lnx / {2√(x^y)[1+(x^y)] }