Find out If MySQL Is Running On Linux Or Not

# mysqladmin -u root -p status  

Output (if yes):

"Enter password: Uptime: 4  Threads: 1  Questions: 62  Slow queries: 0  Opens: 51  Flush tables: 1  Open tables: 45  Queries per second avg: 15.500"

Output (Else)

 "mysqladmin: connect to server at 'localhost' failed error: 'Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)' Check that mysqld is running and that the socket: '/var/run/mysqld/mysqld.sock' exists! "

Under Debian Linux you can type following command to find out if MySQL server is running or not 

 # /etc/init.d/mysql status 

If you are using RedHat of Fedora then you can use following script” 

# service mysqld status 
OR
# /etc/init.d/mysqld status 

Reference :
Cyberciti