zsinx2y则微分dz

设函数Z=ln(x+y^2),则求全微分dz=?什么是全微分,怎么求全微分?全微分的定义　　函数z=f(x,y)的两个全微分偏导数f'x(x,y),f'y(x,y)分别与自变量的增量△x,△y乘积之和　　f'x(x,y)△x+f'y(x,y

设函数z=x(2次方)e(y次方),则全微分dz=dz=(偏z/偏x)dx+(偏z/偏y)dy=2xe^ydx+x^2e^ydy^表示次方

(高等数学)设函数z=e的(2x+y)次方,则全微分dz=?z'x=2e^(2x+y)z'y=e^(2x+y)所以dz=2e^(2x+y)dx+e^(2x+y)dy

设函数Z=2xy,则全微分dz=dz=2xdy+2ydxdz=2xdy+2ydx

设函数Z=sin(x^2+y^2),则全微分dz=?dz=Z'xdx+Z'ydy=2xcos(x^2+y^2)dx+2ycos(x^2+y^2)dy

设Z=e的xy次方,则全微分dzdz=ye^(xy)dx+xe^(xy)dy

设函数z=e^(2x+y),则全微分dz=dz=[2e^(2x+y)]dx+[e^(2x+y)]dy

设二元函数z=x^y,则全微分dz=?http://hi.baidu.com/fjzntlb/album/item/ef8139f61e7f7842730eec56.html#z=f(x,y)=x^y则函数z=f(x,y)在(x,y)处的全

设函数z=x^2y,则全微分dz=∂z/∂x=2xy∂z/∂u=x²所以dz=2xydx+x²dyz'x=2xyz'y=x^2dz=2xydx+x^2dy

设z=x^2+y^3,则全微分dz=?zx=2xzy=3y²dz=2xdx+3y²dy

设z=x^2+y^3,则全微分dz=?dz=2xdx+3y^2dy

设函数z由xcosy+ycosz+zcosx=1所确定,则全微分dz=?等式两边对x求偏导：cosy-ysinz*Z'x+Z'x*cosx-zsinx=0,得：Z'x=(zsinx-cosy)/(cosx-ysinz)等式两边对y求偏导：-

z=arctanx/y,求全微分dzdz=y^2/(x^2+y^2)[dx/y-xdy/y^2]

设Z＝f(x,y)为可微函数,则全微分的表达式dz=多少全微分的定义：函数z=f(x,y)的两个偏导数f'x(x,y),f'y(x,y)分别与自变量的增量△x,△y乘积之和,即为f'x(x,y)△x+f'y(x,y)△y,若该表达式与函数的

设函数Z=sin(x^2y^2),则全微分dz=?我不懂怎么变换

设函数f(u)可微,则z=xf(x2+y2)的全微分dz=?先求偏微分:偏z/偏x=f(x2+y2)+x·[偏f/偏x]·2x=f(x2+y2)+2x^2·[偏f/偏x];偏z/偏y=x·[偏f/偏y]·2y=2xy·[偏f/偏y]∴dz=

z=arctany/x,则全微分dz=(当x=1,y=2时)dz=-2/5dx+1/5dy

设z=xy^3-x^2y^6,则在点(1,1)的全微分dz=z'x=y^3-2xy^6z'y=3xy^2-6x^2y^5x=1,y=1z'x=-1z'y=-3dz=-dx-3dy

若z=sin(xy)则它的全微分dz=A：xcos(xy)B：(xdx+ydy)cos(xy)C：ycos(xy)D：(ydx+xdy)cos(xy)dz=cos(xy)ydx+cos(xy)xdy=(ydx+xdy)cos(xy),选Dz

设z=2ln(1+x/y),则dz在x=1,y=1的全微分dz=2(1/y)/(1/(1+x/y))dx+2(-x/y^2)/1/(1+x/y))dyx=1,y=1,dz=4dx-4dyz=2[ln(x+y)-lny]az/ax=2/(x+