Y=log0.5(х²−10х+29) х²−10х+29>0 D=100-4*29=100-116=-16=>
х²−10х+29>0 при любом x
y`=(log0.5(х²−10х+29))`*(x^2-10x+29)`=-ln0,5/x*(2x-10)=-ln0,5(2x-10)/x
-ln0,5(2x-10)/x=0 x≠0
(2x-10)/x=0
(x-5)/x=0
x=5
+ 0 - 5 +
xmax=5
ymax=log0,5(5^2-10*5+29)=log0,5(25-50+29)=log0,5(4)=-2