Question

решите 2 производных!!!

Answer 1

$f ' (x)=frac{frac{1}{x}(1+lnx)-lnx*frac{1}{x}}{(1+lnx)^2}=frac{frac{1}{x}+frac{1}{x}lnx-frac{1}{x}lnx}{(1+lnx)^2}=frac{frac{1}{x}}{(1+lnx)^2}=frac{1}{x(1+lnx)^2}$

 

$f ' (x)=2lnsqrt{x^2+1}*frac{1}{sqrt{x^2+1}}*frac{1}{2sqrt{x^2+1}}*2x=frac{4xlnsqrt{x^2+1}}{2(x^2+1)}$

 

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