设sinyy e^x-xy^2=0求dy dx

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设sinyy e^x-xy^2=0求dy dx
设|X-2|+(Y+1/4)^2=0,试求代数式X^2(X^2-XY+Y)-X(X^3-2X^2Y+XY-1)

由|X-2|+(Y+1/4)^2=0绝对值大于等于0平方也是大于等于0所以X=2Y=-1/4带入后面要求的式子得到等于0-17/8

设A=2X²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若|

由|x-2a|+(y+3)²=0可得x=2a,y=-3带入A,B可得A=8a²+16a+3,B=16a²+30a+21带入-2A+B=a得a=5,A=283

设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²+3x-y 若|

由|x-2a|+(y+3)²=0得:x=2a,y=-3,B-A=(4x²-6xy+2y²+3x-y)-2(2x²-3xy+y²-x+2y)=5X-5Y

设xy>0,且xy=4x+y+12,求xy的最小值

xy-12=4x+y≥2√(4xy)=4√(xy)xy-4√(xy)-12≥0(√(xy)-6)(√(xy)+2)≥0√(xy)≤-2,√(xy)≥6因为√(xy)≥0所以√(xy)≥6xy≥36所以

设x+y=5,xy=负3,求代数式(2x减3y减2xy)减(x减4y+xy)的值

x+y=5xy=-3(2x-3y-2xy)-(x-4y+xy)=2x-3y-2xy-x+4y-xy=x+y-3xy=5-3×(-3)=5+9=14

设x+y=5,xy=3,求代数式(2x-3y-2xy)-(x-4y+xy)的值.

原式=2x-3y-2xy-x+4y-xy=x+y-3xy=5-3*3=5-9=-4

设x+y=5,xy=负3,求(2x-3y-2xy)-(x-4y+xy)的值

(2x-3y-2xy)-(x-4y+xy)=2x-3y-2xy-x+4y-xy=(2-1)x+(-3+4)y+(-2-1)xy=x+y-3xy因为x+y=5,xy=-3所以原式=5+9=14

设x>8,且xy=x+8y,求x+2y的最小值

设F=x+2y+k(xy-x-8y),令Fx=1+k(y-1)=0,.(1)Fy=2+k(x-8)=0.(2)解方程(1)(2)得x1=12,y1=3,x2=4,y2=-1.∵x>8,∴x2=4,y2

设x的平方+xy=3,xy+y的平方=—2,求2x的平方—xy—3y的平方的值

x²+xy=3xy+y²=-22x²-xy-3y²=2(x²+xy)-3(xy+y²)=6+6=12

设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若x

设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,且B-2A=a所以a=B-2A=4x²-6xy+2y²-3x-y

已知x+y=3 xy=-5 求x设abc=1 求x²+3xy+2y²/x²y+2xy

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设e^xy-xy^2=Siny,求dy/dx

你好!两边对x求导:e^(xy)*(y+xy')-y^2=y'cosy解得y'=(y^2-ye^(xy))/(xe^(xy)-cosy)

设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若│

因为,│x-2a│+(y+3)²=0由非负性可得,x-2a=0且y+3=0解得,x=2a,y=-3又,B-2A=-x-5y=a所以,2(x+5y)+x=0即,3x+10y=0将y=-3代入,

1.设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,

1根据题意得x=2ay=-3B-2A=a4X^2-6XY+2Y^2-3X-Y-4X^2+6XY-2Y^2+2X-4Y=a整理得-X-5Y=a带入得a=5A=102根据题意得a=2/3b=-3/2c=1

设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²+3x-y.若x

∣x-2a∣+(y+3)²=0因为∣x-2a∣≥0,(y+3)²≥0所以∣x-2a∣=0,(y+3)²=0所以x=2a,y=-3B-2A=(4x²-6xy+2y

设A=2x²-3xy+y²-x+2y,B=4x²-6xy+2y²-3x-y,若|

x=2ay=-3A=2x^2+9x+9-x-6=2x^2+8x+3B=4x^2+18x+18-3x+3=4x^2+15x+21B-2A=-x+15=a又x=2a所以x=10A=283

设A=2x²-3xy+y²-x+2y ,B=4x²-6xy+2y²+3x-y .

y=-3,x=2aB-2A=5x-5y=a10a+15=aa=-5/3x=-10/3将x、y代入A得到答案

设A=2x²-3xy.

|x-2a|+(y+3)²=0所以x-2a=0,y+3=0x=2a,y=-3B-2A=(4x²-6xy+2y²-3x-y)-2(2x²-3xy+y²-

设f(x+y,xy)=x^2+y^2,则f(x,y)

f(x+y,xy)=x^2+y^2=(x+y)^2-2xyf(x,y)=x^2-2y

设Z=x²+2xy,求dz

z=x^2+2xy两边同时求导数,得到:dz=2xdx+2ydx+2xdy即:dz=2(x+y)dx+2xdy.