计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y

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计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y
计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^
计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2
2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7)(x+y)^2+2(x^2-y^2)+(x-y)^2 8)x^4-5x+4 9)x^3+2x^2-63x

计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y
(u-v)^2-uv
=u²-2uv+v²+uv
=u²-uv+v²
1/4x^2-(1/2x-y)(1/2x+y)
=1/4x²-1/4x²+y²
=y²
因式分-10xy+25x^2+y^2=(5x-y)²
2)2x^2+5x-3 =(2x-1)(x-3)
3)x^4-6x^ +8=(x²-2)(x²-4)=(x-2)(x+2)(x²-2)
4)(x^2-y^2)-(x-y)^2 =(x-y)(x+y)-(x-y)²=(x-y)(x+y-x+y)=2y(x-y)
5)x^2n+2-4x^2n=x^2n(x²-4)=x^2n(x-2)(x+2)
6)(x^2+y^2)^2-4x^2y^2=x^4+2x²y²+y^4-4x²y²=(x²-y²)²=(x-y)²(x+y)²
7)(x+y)^2+2(x^2-y^2)+(x-y)^2 =(x+y)²+2(x+y)(x-y)+(x-y)²=(x+y+x-y)²=(2x)²=4x²
8)x^4-5x^+4 =(x²-1)(x²-4)=(x-1)(x+1)(x-2)(x+2)
9)x^3+2x^2-63x=x(x²+2x-63)=x(x-7)(x+9)

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36v+4u^2v+v^2u+4u=28uv求uv (u/v)'=(uv-uv')/v^2//如何证明? 关于一个数学求导公式(u+v)'=u'+v'(u-v)'=u'-v'（uv)'=uv'+u'v(u/v)'=(u'v-uv')/v^2 请问最后两个怎么推出来的? 计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y 计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4计算：(u-v)^2-uv 1/4x^2-(1/2x-y)(1/2x+y) 因式分解：-10xy+25x^2+y^2 2)2x^2+5x-3 3)x^4-6x^2+8 4)(x^2-y^2)-(x-y)^2 5)x^2n+2-4x^2x 6)(x^2+y^2)^2-4x^2y^2 7 f(x,y,z)=xy+zy+xz,x=u^2 - v^2,y=1/v,z=uv.计算如下图中三个导数,括弧请自动无视-.- 求x趋于0时lim(e^x-1)/x如果用罗贝塔法则求解,是将(e^x-1)/x带入(u'v-uv')/v^2公式吗? 证明题求解 ?已知z-y^2=u^4,z+y^2=v^4,v>u>0,u和v都是整数,(u,v)=1,2不整除uv,求证z>v w=x+y,x,y是由方程组xy^2-uv=1,x^2+y-u+v=0确定的u,v的函数,则w对u的偏导数是多少? u'/v-uv^(-2)*v'化简得u'v/v^2-uv'/v^2//怎么变出来的/v^2? 曲面 r(u.v)=(u+v,u-v,uv)在n（1,2）点的单位法向量 = ,切平面方程为=? ∫（x^2）dx/(x+1)(x+3) 的不定积分怎么求?嗯.比较学渣所以不太会最好用上∫u'v=uv-∫uv'这个方法. u=x+y,v=x-y,用uv来表示x²-√2 ×xy+y² 求函数偏导设z=u^2v-uv^2,而u=xsiny,v=xcosy,求偏z/偏x和偏z/偏y 已知向量a=(1,2),b=(x,1),u=a+2b,v=2a-b,且u平行v,求x的值?并判断uv是同向还是反向当x?时分式x的平方分之x-1的值为正数当x 时分式x的平方分之x+1的值为正数当x 时分式(x-1)的平方分之x+2的值为负数当x 时分式(x-1)的平方分之x+3的值为负数u-2v/u+2v - 8uv/u的平方-4v的平方设方程组x^2+y^2-uv=0,xy^2-u^2+v^2=0确定函数为u(x,y) v(x,y),求u v分别关于x y的偏导数.求指教! 导数除法公式(u/v)'=(u'v-v'u)/(v^2) 的推导乘法法则(uv)'=u'v+uv',把式中的v换成1/v,用乘法的法则推导即可.这里,（1/v）的求导怎么做