The maximum value of (x+ 6 )+ (x+ 6 ) in the interval (0, 2 ) is attained at

Step-by-step solution

aligned & (x+ 6 )+ (x+ 6 ) & = 2 [ 1 2 (x+ 6 )+ 1 2 (x+ 6 ) ] & = 2 [ (x+ 6 ) 4 + (x+ 6 ) 4 ] & = 2 [ (x+ 6 + 4 ) ] & ( (A+B)= A B+ A B & = 2 [ (x+ 5 12 ) ] aligned Given interval is (0, 2 ) For, maximum value x + 5 12 = 2 x = 2 - 5 12 = 6 -5 12 = 12