f(x)=x的x次方,

问题描述:

f(x)=x的x次方,

f'(x)=x乘以x的(X-1)次方

f(x)=x^x
lnf(x)=lnx^x=xlnx
(lnf(x))=f'(x) / f(x)=lnx+x*1/x
=lnx+1
∴f'(x)=f(x)(lnx+1)
=x^x(lnx+1)