设y=lncosx x的三次方,求dy
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求导公式:次幂放前面来,次数减一.所以求导是y=3x的平方.
A-B=x³+2y³-xy²-(-y³+x³+2xy²)=x³+2y³-xy²+y³-x³
X³+Y³=(X+Y)(X²-XY+Y²)
∵xyz>0且2003x³=2004y³=2005z³∴x,y,z>0设2003x³=2004y³=2005z³=1/k(k>0)则1/20
(x+y)三次方×(2x+2y)三次方×(3x+3y)三次方=(x+y)³×8(x+y)³×27(x+y)³=216((x+y)的9次方
xy的三次方-2x²y²+x的三次方y=xy(y²-2xy+x²)=xy(x-y)²
首先x3-y3=(x-y)(x2+xy+y2)其次x3-y3-3xy=1所以x3-y3=1+3xy=(x-y)(x2+xy+y2)x-y=(1+3xy)/(x2+xy+y2)=(1+3xy)/[(x-
=xy(4x²+4xy+y²)=xy(2x+y)²
1.为了简化算式,设A=2000的立方根,B=2001的立方根,C=2002的立方根A^3=2000,B^3=2001,C^3=2002A^3x^3=B^3y^3=C^z^3y=Ax/Bz=Ax/C2
x的三次方+8y三次方=(x+2y)(x平方-2xy+4y平方)
x³y-xy³=xy(x²-y²)=xy(x+y)(x-y)
y=(x-2)^3-x^3y'=3(x-2)^2-3x^2=12(1-x),y'(1)=0,驻点x=1y''=-12y(1)=-2是唯一的极值,是极大值,故也是最大值.
设2009x的三次方=2010y的三次方=2011z的三次方=k^3,则1995x^2=k^3/x,1996y^2=k^3/y,1997z^2=k^3/z【2009x的平方+2010y的二次方+201
z=x^3+y^3+3xy∂z/∂x=3x^2+3y∂^2z/∂x^2=6x=A∂z/∂y=3y^2+3x∂^2z/
x^3+x-y^3-y=(x^3-y^3)+(x-y)=(x-y)(x^2+xy+y^2)+(x-y)=(x-y)(x^2+xy+y^2+1).x^3-x^2-y^3+y^2=(x^3-y^3)-(x
您好:x的三次方(y-x)的三次方-(x-y)的三次方=x的三次方(y-x)的三次方+(y-x)的三次方=(x³+1)(y-x)³=(x+1)(x²-x+1)(y-x)&
y的三次方
y=x³sinxy'=3x²sinx+x³cosxdy=x²(3sinx+xcosx)dx
因为,三次方√1996x平方+1997y平方+1998z平方=三次方√1996+三次方√1997+三次方√1998所以,根号立方(k/x+k/y+k/z)=根号立方(k/x^3)+根号立方(k/y^3
x^3+y^3=271)x^2-xy+y^2=92)两式相除,得:x+y=3,平方得:x^2+2xy+y^2=93)2)*2+3)得:3(x^2+y^2)=27得:x^2+y^2=9