xy的导数

导数cos(xy)=x的导数y=1/x*arccosx求导：y¹=1/x^2*[-x*1/√(1-x^2)-arccosx]导数cos(xy)的导数应该是-sin(xy).y吧

sin(xy^2)的导数【sin（xy²）】‘=cos（xy²）（y²+x2xyy’）=（y²+2xyy‘）cos（xy²）这里不仅要注意复合函数求导,而且还要注意y是关于x的函数.用复合求

求sinx*e^xy的偏导数求z=sin[x*e^(xy)]əz/əx=cos[x*e^(xy)]·[e^(xy)+xye^(xy)]əz/əy=cos[x*e^(xy)]·x²e^(xy)

x/y=ln(xy)的导数X/Y=lnX+lnYYlnX+YlnY=XY'lnX+Y/X+Y'lnY+YY'/Y=1Y'(lnX+lnY+1)=1-Y/XY'=(1-Y/X)/(lnX+lnY+1)(y-xy')/y^2=1/xy*(y+x

求y=e^(xy)的导数?两边对x求导dy/dx=e^(xy)(y+xdy/dx)dy/dx=ye^(xy)/[1-xe^(xy)]

xy+e^(xy)=1,求y的导数该题为隐函数求导.xy+e^(xy)=1则y+xy'+e^(xy)(y+xy')=0解得：y'=-y/x解答完毕.xy+e^(xy)=1上式左右对x求导得到y+xy'+e^(xy)*（y+xy')=0所以(

一道二阶偏导数Z=e^xy乘sinxy的四个二阶偏导数.z=e^(xy)*sin(xy)dz/dx=ye^(xy)*sin(xy)+ye^(xy)*cos(xy)=ye^(xy)*[sin(xy)+cos(xy)]dz/dy=xe^(xy)

急Z=e^xy-xy^2求关于xy的偏导数e^xy是e^(xy)吧这个简单啊∂z/∂x=ye^xy-y^2∂z/∂y=xe^xy-2xy4

求函数z=xy+x/y的偏导数z=xy+x/y对x的偏导数=y+1/y对y的偏导数=x-x/y^2

设函数z=xln(xy)的二阶偏导数RTαz/αx＝ln(xy)＋x×1/(xy)×y＝1＋ln(xy)αz/αy＝x×1/(xy)×x＝x/yα^2z/αx^2＝1/(xy)×y＝1/xα^2z/αxαy＝1/(xy)×x＝1/yα^2z

求函数z=xy+sinx的偏导数z=y+cosx+x

z=arctan【(x+y)/(1-xy)】的偏导数

求y=xe(-xy)次方的导数,急

e的y次方+xy=e求二阶导数求二阶真的麻烦,容易出错,只好详细求了.求二价y''时那个y'就代回一阶导数的答案便可以了.方程两边同时对x求导得e^y*(dy/dx)+y+x*(dy/dx)=0.解得dy/dx=(-

xIny+ye^(xy)=0求y的导数

隐函数x=ln(xy)的导数怎样求x=ln(xy)x=lnx+lny1=1/x+(1/y)*y'(-1/y)y'=1/x-1y'=-y/x+y1=(xy)'/(xy)y+xy'=xyy'=y-y/x两边对x求导得：1=（y+xy'）/xy所

求隐函数的导数xy-cos(y)=0xy=cos(y)两边分别求导y'x+y=-sin(y)(y')y'x+sin(y)(y')=yy'=y/(siny+x)xy-cos(y)=0xy'+y+(siny)y'=0(x+siny)y'=-yy

e^x+xy=e^y隐函数的导数(e^x+xy)'=(e^y)'e^x+y+xy'=y'e^x,y'=(e^x+y)/(e^x-x)

求z=f(x+y,xy)的二阶偏导数令u=x+y,v=xy记f'1=df/du;f'2=df/dv;f''12=d^2f/dudvdz/dx=f'1+yf'2d^2/z/dxdy=f''11+(x+y)f''12+xyf''22+f'2中间

求z=xy+(x^2)siny的二阶偏导数是关于谁的二阶偏导数?关于x的话就是先z对x求一阶偏导数z‘=y+2x*siny,然后再对x求导：z“=2siny求y的方法一样!