xy^3-xy^3sinx=1求dy dx
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![xy^3-xy^3sinx=1求dy dx](/uploads/image/f/897030-54-0.jpg?t=xy%5E3-xy%5E3sinx%3D1%E6%B1%82dy+dx)
xy^2*(-x^2y^2)*(1/2xy^3)^2=xy^2*(-x^2y^2)*(1/4x²y^6)=xy^2*(x^4y^8)*(-1/4)=(-1/4)*xy²*(xy
1.2(Xy+Xy)-3(Xy-xy)-4Xy=2*2xy-0-4xy=4xy-4xy=02.1/2ab-5aC-(3acb)+(3aC-4aC)=1/2ab-5ac-3acb-ac=1/2ab-6a
5xy+4x+7y+6x-3xy-4xy+3y=5xy-3xy-4xy+4x+6x+7y+3y=(5-3-4)xy+(4+6)x+(7+3)y=-2xy+10x+10y=-2xy+10(x+y)因为x
解(x+1)平方+/y-1/=0∴x+1=0,y-1=0∴x=-1,y=1∴2(xy-5xy平方)-(3xy平方-xy)=(2xy+xy)+(-10xy平方-3xy平方)=3xy-13xy平方=3×(
3xy-[2xy-2(xy-2分之3xy)+xy]+3xy=6xy-[2xy-2xy+3xy+xy)=6xy-4xy=2xy=2×3×3分之1=2
(8xy-3x平方)-5xy-2(3xy-2x平方)=8xy-3x²-5xy-6xy+4x²=x²-3xy=4+6=10
解3x²y-[2xy-2(xy-3/2x²y)+xy]+3xy²=3x²y-(2xy-2xy+3x²y+xy)+3xy²=3x²y
=3x^2y-2xy^2+2(xy-3/2x^2y)-xy+3xy^2=3x^2y+xy^2+2xy-3x^2y-xy=xy+xy^2=3*(-1/3)+3*1/9=-2/3
3/(x-y)=1/xyx-y=3xyy-z=-3xy原式=[(y-x)-2xy]/[2(x-y)+3xy]=[(-3xy)-2xy]/[2(3xy)+3xy]=-5xy/9xy=-5/9
两边对x求导得cosx+y'cosy=y+xy'解出来y'就可以了再问:z=f(xy^2,x^2y)求δz/δx,δz/δy这个呢再答:令u=xy^2,v=x^2yδz/δx=f'u*u'x+f'v*
再答:我可是算了很久的再问:那一个是化筒那一个是求值?再答:前面是化简后面是求值再问:化简;(4a^2-3b^2)-[2(a^2-1)+2b^2-3]再问:快快
(3x^2+2xy)/xy-(2x^2-xy)/xy=(3x^2+2xy-2x^2+xy)/xy=(x^2+3xy)/xy=x(x+3y)/xy=(x+3y)/y
原式=3x的2次方y/(-1/2xy)-xy的2次方/(-1/2xy)+1/2xy/(-1/2xy)=-6x+2y-1
(x+2y-3xy)-(-2x-y+xy)=x+2y-3xy+2x+y-xy=(1+2)x+(2+1)y-(3+1)xy=3x+3y-4xy=3(x+y)-4xy=3*1/2-4*(-1/2)=3/2
[3xy(1-x)-6xy(x-1/2)]*2x*(-xy)平方=(3xy-3x²y-6x²y+3xy)(2x³y²)=12x^4y³-18x^5y&
因为xy/(x+y)=1/2所以x+y=2xy原式=3(x+y)-5xy/(-x-y+3xy)=3*2xy-5xy/(-2xy+3xy)=xy/xy=1
3xy-3xy-xy+2yx=-xy+2xy=xy
3x^2y-[2xy^2-4(1/2xy-3/4x^2y)+xy]+3xy^2=3x^2y-2xy^2+2xy-3x^2y-xy+3xy^2=xy^2+xy由x=3,y=-1/3得:原式=3*1/9-
结果为:xy(y+1)(y-1)过程:先提取公因式xy,则原式=xy(y^2-1),然后利用平方差公式可以得到原式=xy(y+1)(y-1)
两边微分:d(xy)+dcosy-dsinx=0ydx+xdy-sinydy-cosxdx=0dy=(cosx-y)dx/(x-siny)