求函数z=e^xy当x = 1,y = 1,Δx = 0.1,Δy= -0.2时的全微分.

问题描述:

求函数z=e^xy当x = 1,y = 1,Δx = 0.1,Δy= -0.2时的全微分.

dz=z'xdx+z'ydy
=ye^xydx+xe^xydy=e^xy(ydx+xdy)
所求全微分:dz=-0.1e