求x^2+y^2-xy+x=6的导数 高数

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已知x/y=2,求x²-xy+3y²/x²+xy+6y²的值

x/y=2x=2yx²-xy+3y²/x²+xy+6y²=4y^2-2y^2+3y^2/4y^2+2y^2+6y^2=5y^2/12y^2=5/12

已知x/y=2,求 [x^2-xy+3xy^2 ] / [ x^2+xy+6y^2]的值

因为x/y=2所以x=2y是[x^2-xy+3y^2]/[x^2+xy+6y^2]吧=(4y^2-2y^2+3y^2)/(4y^2+2y^2+6y^2)=5y^2/12y^2=5/12

已知x>0,y>0,且x+6y=5根号xy,求(2x+根号xy-y)分之(x+根号xy+2y)的值

x-5xy+6y=0(√x-2√y)(√x-3√y)=0所以√x=2√y,√x=3√yx=4y或x=9y原式=(8y)/(9y)=8/9或=(14y)/(20y)=7/10

x^+2xy+y^+4=16 x^-2xy+y^=16 求(3xy+6y^)+|x^-(2xy+2y^-3x^)|的值

x^+2xy+y^+4=16(x+y)²=16-4=12(1)x^-2xy+y^=16(x-y)²=16(2)(1)-(2)2y*2x=-4xy=-1(3xy+6y^)+|x^-(

已知x/y=2,求(x^2-xy+3y^2)/(x^2+xy+6y^2)的值

原式=((x/y)^2-x/y+3)/((x/y)^2+x/y+6)代入x/y=2=(2^2-2+3)/(2^2+2+6)=(4-2+3)/(4+2+6)=5/12其实只要将(x^2-xy+3y^2)

若x-y=5,xy=6,求x^2-xy^2和x^2y+xy^2

x=-1,y=-6或x=6,y=1代入式子得x^2-xy^2=37或30x^2y+xy^2=-42或42

已知x>0y>o且x-5根号xy-6y求(x-2根号xy+y)/x+根号xy-2y

是不是x-5√xy-6y=0?(√x-6√y)(√x+√y)=0x>0,y>0则√x+√y>0所以√x-6√y=0√x=6√yx=36y所以√xy=6y所以原式=(36y-12y+y)/(36y+6y

已知X+y=6,xy=7 求x^2y+xy^2=

x^2y+xy^2=xy(x+y)=7x6=42再问:��(x+1)^2=13��x^2+2x+3=再答:x^2+2x+3=(x+1)^2+2=13+2=15

已知xy=-2,x-y=3,求(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2)÷2y

(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2)÷2y=(x+y)(x-y)-y^2+(x-y)^2-2y(3x^2-xy)÷2y=(x+y)(x-y)-y^2+(x-y)^2

x^2+xy+x=36,y^2+xy+y=20,求x+y.

7或者-8再问:求过程^_^再答:两个等式两边相加

若正实数x,y满足2x+y+6=xy,求xy的最小值.

2x+y+6=xy化简得:Y=(2X+6)/(X-1)X不等于0因为正实数x.所以X>0所以X>1函数Y=(2X+6)/(X-1)是单调递增所以X=2为最小值,Y=10所以XY最小值为XY=20

若x+y=5,xy=6,求x的平方y+xy的2次方的值

求x的平方y+xy的2次方=xy(x+y)=30

已知xy/x+y=6,求3x-2xy+3y/-x+3xy-y的值.

xy/x+y=6∴xy=6(x+y)3x-2xy+3y/-x+3xy-y=[3x-12(x+y)+3y]/[-x+18(x+y)-y]=-9(x+y)/17(x+y)=-9/17再问:你在啊?再答:在

因式分解 求过程 x-xy+3y-3x 2x+xy-y-4x+5y-6

x²-xy+3y-3x=x(x-y)-3(x-y)=(x-y)(x-3)2x²+xy-y²-4x+5y-6=(2x-y)(x+y)-4x+5y-6=(2x-y+2)(x+

已知x+xy=-2,xy-y=-6求代数式2x{-4y-3[(x+xy)²+x]-½[(y-xy

已知x+xy=-2,xy-y=-6则X+Y=42x{-4y-3[(x+xy)²+x]-½[(y-xy)²-2y]=2x{-4y-3[(-2)²+x]-&fr

已知xy=-2,x-y=3,求(x+y)(x-y)-y²+(x-y)²-(6x²y-2xy

(x+y)(x-y)-y²+(x-y)²-(6x²y-2xy²)÷(2y)=x²-y²-y²+x²-2xy+y²

(x-2xy)*(-xy+2y*y)-(3x*x-2xy)(x-9xy+6y*y)

原式=-x²y+2xy²+2x²y²-4xy³-3x³+27x³y-18x²y²+2x²y-18x&

若x+y=5,xy=6,求x^2y+xy^2的值

x^2y+xy^2=xy×(x+y)=6×5=30

x/y=2,求分式x²-xy+3y²/x²+xy+6y²

(x2-xy+3y2)/(x2+xy+6y2)=(x2-xy+3y2)/y2/((x2+xy+6y2)/y2)=(4-2+3)/(4+2+6)=5/12