анализ - Как найти производные dy/dx? [закрыт]

$%1) y^{'}=((xlnx)/(x-1))^{'}=\frac{(xlnx)^{'}(x-1)-(x-1)^{'}xlnx}{(x-1)^2}=\frac{x-1-lnx}{(x-1)^2}$%

$%2) y^{'}=((arctgx)^{lnx})^{'}=\large {(e^{ln({arctgx})^{lnx}})}^{'}=$%

$%=\large {(e^{lnx\cdot ln({arctgx})})}^{'}=(e^{lnx\cdot ln({arctgx})})\cdot ({{lnx\cdot ln({arctgx})})}^{'}=$%

$%=(arctgx)^{lnx}\cdot (\frac{1}{x}\cdot ln({arctgx})+lnx\cdot\frac{1}{arctgx}\cdot (arctgx)^{'})=... $%