Найдите наименьшее значение функции y=6x-ln(6x) на отрезке 1/7;6/7.
Y`=6-6/6x=6-1/x=(6x-1)/x=0 6x-1=0⇒6x=1⇒x=1/6∉[1/7;6/7] y(1/7)=6/7-ln(6/7)≈6/7-(-0,15)=6/7+3/20=120/140+21/140=141/140=1 1/140 наим y(6/7)=36/7-ln(36/7)≈36/7-1,64=36/7-41/25=900/175-287/175=613/175=3 88/175