设z=xy^3-x^2y^6,则在点(1,1)的全微分dz=

问题描述:

设z=xy^3-x^2y^6,则在点(1,1)的全微分dz=

z'x=y^3-2xy^6
z'y=3xy^2-6x^2y^5
x=1,y=1
z'x=-1
z'y=-3
dz=-dx-3dy