f(x)=x^2-+x-1复合函数求f[f(lnx)]=(ln^2x+lnx-1)^2+(ln^2x+lnx-1)-1怎么算到=ln^4x+2ln^3x-lnx-1求详细

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f(x)=x^2-+x-1复合函数求f[f(lnx)]=(ln^2x+lnx-1)^2+(ln^2x+lnx-1)-1怎么算到=ln^4x+2ln^3x-lnx-1求详细
f(x)=x^2-+x-1复合函数求f[f(lnx)]=(ln^2x+lnx-1)^2+(ln^2x+lnx-1)-1怎么算到=ln^4x+2ln^3x-lnx-1求详细

f(x)=x^2-+x-1复合函数求f[f(lnx)]=(ln^2x+lnx-1)^2+(ln^2x+lnx-1)-1怎么算到=ln^4x+2ln^3x-lnx-1求详细
f[f(lnx)]
=(ln^2x+lnx-1)^2+(ln^2x+lnx-1)-1
=(ln^2x+lnx-1)(ln^2x+lnx-1+1)-1
=(ln^2x+lnx-1)(ln^2x+lnx)-1
=ln^4x+ln^3x-ln^2x+ln^3x+ln^2x-lnx-1
=ln^4x+2ln^3x-lnx-1
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