求y^2-2xy x^2-2x=1隐函数的二阶导函数
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(1)原式=2xy+x(x−y)+y(x+y)x2−y2=(x+y)2(x+y)(x−y)=x+yx−y;(2)原式=2a−(a+2)(a+2)(a−2)a−2(a+2)(a−2)=1a+2;(3)原
∵xyx+y=2∴xy=2(x+y)∴原式=3x−5×2(x+y)+3y−x+3×2(x+y)−y=−7x−7y5x+5y=−75
2/x+2/y=根号24(2y+2x)/xy=2√6x+y=xy√6x/y(x-y)-y/x(x-y)=1/(x-y)[(x/y-y/x)]=1/(x-y)[(x²-y²)/xy]
你的题目有点问题我这样做了x/{y(x-y)}-y/{x(x-y)}=(x平方-y平方)/{xy(x-y)}=(x+y)/xy2/x+2/y=2(x+y)/xy=根号24
先化简[(x²+y²)-(x-y)²+2y(x-y)]/4y[(x²+y²)-(x-y)²+2y(x-y)]/4y=[x²+y&s
先化简[(x²+y²)-(x-y)²+2y(x-y)]/4y[(x²+y²)-(x-y)²+2y(x-y)]/4y=[x²+y&s
原式=(2x-y)(x+y)/(2x-y)^2=(x+y)/(2x-y)x/y=2x=2y原式=3y/3y=1
解;已知正数x,y满足,x2+y2=1,则1=x2+y2≥2xy,∴xy≤12…① 又xyx+y=11x+1y≤12 1x•1y=xy2…②①②联立得xyx
figureezmesh('x*y')holdonezmesh('1-x-y')holdoff再问:不是很清楚。这个间距太大了,,可不可以精度大一些。。
∵xyx+y=-2,yzy+z=43,zxz+x=-43,∴1x+1y=-12,1y+1z=34,1z+1x=-34,∴2(1x+1y+1z)=-12,即1x+1y+1z=-14,则xyzxy+yz+
X+Y分之X-Y等于3x=-2yX+Y分之2(x-y)减X+Y分之3X+Y=(-x-3y)/(x+y)=1
因为(x-y)/(x+y)=3,则(x+y)/(x-y)=1/3则5(x-y)(x+y)-(x+y)/2(x-y)=5*3-1/(3*2)=15-1/6=89/6
即y/x=2arctan(y/x)令u=y/x,则u=2arctanu这实际是一个关于u的方程,可以证明这个方程是有解的,设u=c是方程的解(这时c已经是一个常数了)即u=y/x=c那么有y=cx所以
证明函数f(x,y)=(x+y)/(x-y)在点(0,0)处的二重极限不存在.当点(x,y)沿着直线y=kx(k为不等于1的任意实数)趋于(0,0)时,limf(x,y)=lim(x+kx)/(x-k
由(1)、(3)得y=xx−2,z=6xx−3,故x≠0,代入(2)解得x=2710,所以y=277,z=-54.检验知此组解满足原方程组.∴10x+7y+z=0.故选D.
把分式xyx+y中的x和y都扩大2倍后得:2x•2y2(x+y)=4xy2(x+y)=2•xyx+y,即分式的值扩大2倍.故选:B.
x=±1,y=±3,z=±2xyzz>y则0>x>z>yx=-1,y=-3,z=-2,x2y-[4x2y-(xyz-x2z)-3x2z]-2xyx=x2y-4x2y+xyz-x2z+3x2z-2xyx
4x=9yx=9/4*y(1)(x+y)/y=[(9/4)y+y]/y=(9/4+1)y/y=9/4+1=13/4(2)(y-x)/2x=[y-(9/4)y]/[2*(9/4)y]=(1-9/4)y/
如果是求导数的话,y'=(2x+e^x)/(x^2+e^x)
y=x^(2x)lny=2xlnx(1/y)dy=(2+2lnx)dxdy=x^(2x).(2+2lnx)dx