From full moon onwards the Moon starts staying longer in tde daylight sky. First you notice it setting in west in mornings and day by day it is higher and higher in the blue sky when sun rises and day begins. It moves before the Sun to the west. Then as a waning crescent it will be visible only for a few hours in the east near the sunrise direction, and the thin crescent is not bright or big enough to be seen in daylight - just like we cannot see planets and stars because sunlight makes the sky too bright.