求z={ln(xy)}^0.5的偏导数,_数学解答

求z={ln(xy)}^0.5的偏导数,

人气：110 ℃　时间：2020-05-12 04:20:16

解答

Zx=1/2*[ln(xy)]^(-1/2)*[1/(xy)]*y
=1/(2x)*[ln(xy)]^(-1/2)
Zy=1/2*[ln(xy)]^(-1/2)*[1/(xy)]*x
=1/(2y)*[ln(xy)]^(-1/2)