Question

Найти производную.

 

$1) 10^{-frac{1}{x^{2}+1}}$

 

$2) sqrt[4]{frac{1-Lnx}{x+1}}$

Answer 1

-10^(-1/(x^2+1))*ln10*[-2x/(x^2+1)^2]=2x/(x^2+1)^2ln10*10^(-1/(x^2+1))

 

1/4(1-lnx)/(x+1)^(-3/4)*[-(x+1)/x-(1-lnx))/(x+1)^2]=-1/4*(2x+1-xlnx)/[x*(1-lnx)^3/4*(x+1)^5/4]