求一阶偏导数:z=arctan√(x^y )
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![求一阶偏导数:z=arctan√(x^y )](/uploads/image/z/7631143-7-3.jpg?t=%E6%B1%82%E4%B8%80%E9%98%B6%E5%81%8F%E5%AF%BC%E6%95%B0%EF%BC%9Az%3Darctan%E2%88%9A%28x%5Ey+%29)
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)] }