z=sin(xy)+cos^2(xy)一阶偏导数
问题描述:
z=sin(xy)+cos^2(xy)一阶偏导数
答
∂Z/∂x= y*cos(xy) -2cos(xy)*sin(xy)*y
= y*cos(xy) - y*sin(2xy)
∂Z/∂y= x*cos(xy) -2cos(xy)*sin(xy)*x
= x*cos(xy) - x*sin(2xy)