x+y=4,求(x+1/x)(y+1/y)的minx,y属于正数
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/06 07:40:24
xQJ@$$QHK-X))ت--^jKS~MQрig潙7ƮUΚ!Ydb%MB@w]%Kr,.)gĵO\Uv4i!Sרz0yy]#TӑQ ",B`,d![)Y0oyГ4 lڀPGq
GMxxFM>)4ąG!q>jnVɖJQL5(m-,G.xVH9Uq`y6uOwEJI%8z-3t E{7
\/ ybq$k~fP\}E3"
x+y=4,求(x+1/x)(y+1/y)的minx,y属于正数
x+y=4,求(x+1/x)(y+1/y)的min
x,y属于正数
x+y=4,求(x+1/x)(y+1/y)的minx,y属于正数
(x+1/x)(y+1/y)
=(x^2+1)(y^2+1)/xy
=[(xy)^2+(x^2+y^2)+1]/xy
=[(xy)^2+(x+y)^2-2xy+1]/xy
=[(xy)^2+17-2xy]/xy
=xy+17/xy -2
≥2√17-2
当且仅当xy=17/xy,xy=√17时取等号
故最小值是2√17-2
f(x,y)=xy+1/(xy)+x/y+y/x,
用这个公式a+b大于或等于2*根号(ab)
等号当a=b时候成立
xy+1/(xy),x/y+y/x都可以用
是求(x+1/x)(y+1/y)两个式子中比较小的一个?
已知x×x×y×y+x×x+y×y+1=4xy,求x,y的值快
已知:【(x²+y²)-(x-y)²+2y(x-y)】/4y=1,求4x/4x²-y²-1/2x+y
已知x-y=1,求[(x+2y)²+(2x+y)(x-4y)-3(x+y)(x-y)]÷y的值
已知x-y=1,求[(x+2y)^2+(2x+y)(x-4y)-3(x+y)(x-y)]除以y的值大神们帮帮忙
已知:【(x²+y²)-(x-y)²+2y(x-y)】÷4y=,求4x/(4²-y²)-1/(2x+y)的值已知:【(x²+y²)-(x-y)²+2y(x-y)】÷4y=1,求4x/(4²-y²)-1/(2x+y)的值
(x+y)(x-y)+4(y-1)
若(-x+6):(x-y):(4x+y)=3:14:1,求x+y
若(-x+6):(x-y):(4x+y)=3:14:1,求x+y
(-x+6):(x-y);(4x+y)=3;14:1,求x+y的值.
对于(y一撇)y`=y/x(y-1)求导,我求的结果是y``=-y^2-y`x+y/x^2(y-1)^2 怎么不对啊,我的求导过程是:y`x(y-1) - [x(y-1)]` y y`xy-y`x-(y-1+xy`)y -y^2-y`x+yy``=-------------------------=----------------------=-----------------x^2 (y-1
已知2x+y=4,求代数式[(x+y)²-(x-y)²-2y(x-1/2y)]÷4y的值 (还没学因式分解)
已知实数x,y满足方程x*x+y*y-4x+1=0.求y-x的最大值
已知x+y=a,2x-y=-2a,求[(x/y-y/x)/(x+y)-x(1/x-1/y)]/[(x+1)/y]的值
x.y都是自然数,且x(x-u)-y(y-x)+12,求x.y得值快1且x(x-y)-y(y-x)=12
若2/x-1/y=3,求[y/x-y/x-y(x-y/x-x+y)]/x-2y/x的值
x>0 y>0 x+y=1,4/X+9/y最小值x>0 y>0 x+y=1,求4/X+9/y最小值
若|x+y-1|+(x-y-2)²=0,求代数式(x+2y)(x-2y)-(2x-y)(-y-2x)的值.
x+2y=2x+y+1=7x-y 求:2x-y?