Shell - one line query
Did you try
mysql -u root -pmy_password -D DATABASENAME -e "UPDATE `database` SET `field1` = '1' WHERE `id` = 1111;" > output.txt
(the > output.txt
part can be ignored but, it will be useful to see what was returned by the statement executed by looking at the file.)
Use echo
and a pipe:
echo "UPDATE `database` SET `field1` = '1' WHERE `id` = 1111;" | mysql database --user='root' --password='my-password'