xy的导数怎么算

邓泥刻3138xy=e^(x y)隐函数的导数,怎么求 -
双树研17516803491 ______[答案] 构造函数,F(X,Y)=xy-e^(xy) 则dy/dx= - Fx/Fy= - [y-e(xy)*y] / [x-e^(xy)*x]

邓泥刻3138这导数怎么求的
双树研17516803491 ______ (xy)的导数=x的导数乘以y+x乘以y的导数.当然是1啊

邓泥刻3138求xy=e的(x+y)次方的导数.要详解. -
双树研17516803491 ______[答案] xy=e^(x+y) 所以两边对x求导数得到 y+xy'=e^(x+y) * (1+y') 所以y'=[e^(x+y)-y]/[x-e^(x+y)]

邓泥刻3138求导数 cos(xy)=x, -
双树研17516803491 ______[答案] 用隐函数求导法 设F(x,y)=x-cos(xy),则 F'x=1+ysin(xy),F'y=xsin(xy) 所以 dy/dx=-F'x/F'y=-[(1+ysin(xy)]/[xsin(xy)]

邓泥刻3138cos(xy)=x求隐函数的导数dy/dx -
双树研17516803491 ______[答案] cos(xy)=x 两边对x求导:-sin(xy)[y+xy']=1 y+xy'=-1/sin(xy) xy'=-y-(1/sin(xy)) y'=[-y-(1/sin(xy))]/x

邓泥刻3138用对数求导法求yx=xy的导数. -
双树研17516803491 ______ xlny=ylnx (xlny)'=lny+xy'/y=y'lnx+y/x y'(x/y-lnx)=y/x-lny y'=(y/x-lny)/(x/y-lnx)

邓泥刻3138求导:已知y=cos(xy),求y的一阶导数 -
双树研17516803491 ______[答案] 对两边分别求导,得 dy/dx=-sin(xy)*(x*dy/dx+y) 则dy/dx(1+sin(xy)*x)=-sin(xy)*y 所以dy/dx=(-sin(xy)*y)/(1+sin(xy)*x)

邓泥刻3138已知隐函数y^3+x^3+xy=0,求导数 这个xy怎么对x求导?不懂还有就是遇到一个项里既有x又有y怎么对x求导?例如xy^2、yx^2、e^(x+y) -
双树研17516803491 ______[答案] 就相当于两个函数乘积求导:d(xy)/dx =(xdy+ydx)/dx =x(dy/dx) +y或者写作xy'+y y'是y对x的导数 同样的 (xy^2)' =y^2+x(y^2)'=y^2 +2yy'(yx^2)'=y'x^2+y(2x)=y'x^2+2xye^(x+y)'=(1+y')e^(x+y)...

邓泥刻3138e^xy也就是e的xy次方的导数怎么求. -
双树研17516803491 ______[答案] 对x还是对y求导.

邓泥刻3138求z=ye^xy的导数.这是个隐函数. -
双树研17516803491 ______[答案] z=ye^(xy) z对x的偏导数 zx=ye^(xy)*(xy)' =y²e^(xy) =yz z对y的偏导数 zy=e^(xy)*y'+y*e^(xy)*(xy)' =e^(xy)+xye^(xy) =(1+xy)e^(xy)或 =e^(xy)+xz