If you want analyze tables with "mysqlcheck", you need to use the "--analyze" option. The following tutorial exercise shows you how to analyze all tables in "mysql" database:

>cd mysqlin

>mysqlcheck -u root --analyze mysql

mysql.columns_priv   Table is already up to date

mysql.db    Table is already up to date

mysql.func    Table is already up to date

mysql.help_category   Table is already up to date

mysql.help_keyword   Table is already up to date

mysql.help_relation   Table is already up to date

mysql.help_topic   Table is already up to date

mysql.host    Table is already up to date

mysql.proc    Table is already up to date

mysql.tables_priv   Table is already up to date

mysql.time_zone    Table is already up to date

mysql.time_zone_leap_second  Table is already up to date

mysql.time_zone_name  Table is already up to date

mysql.time_zone_transition Table is already up to date

mysql.time_zone_transition_type Table is already up to date

mysql.user    Table is already up to date