Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1)) 求导数,Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1))求导数,

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Y=xloga(x^2+x-1)Y=log2((x-1)/(x+1))求导数,Y=xloga(x^2+x-1)Y=log2((x-1)/(x+1))求导数,Y=xloga(x^2+x-1)Y=log2

Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1)) 求导数,Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1))求导数,
Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1)) 求导数,
Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1))
求导数,

Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1)) 求导数,Y=xloga(x^2+x-1) Y=log2((x-1)/(x+1))求导数,
1:
y'=x*[loga(x^2+x-1)]'+loga(x^2+x-1)
=x*(2x+1)/[lna*(-1 + x + x^2)]+loga(x^2+x-1)
=(2x^2+x)/[lna*(-1 + x + x^2)]+loga(x^2+x-1)
2:
y'=(x+1)/[Ln2(x-1)]*[(x - 1)/(x + 1)]'
=(x+1)/[Ln2(x-1)]*[(x+1)-(x-1)]/[(x+1)^2]
=2/[( x^2-1) Ln2]

复合求导:dy/dx=loga(x^2+x-1)+(2x+1)*{1/[(x^2+x-1)*lna]}
y=2log((x-1)/(x+1))
dy/dx=4/(x+I)^2*{1/[(x-1)/(x+1)*lna]}