How to change mysql database password in ubuntu?

1.Login as root

sudheer@VY-B3:~$ mysql -u root -p
Enter password:vidyayug

2.select the database:

mysql> use mysql;

Query OK, 3 rows affected (0.00 sec)
Rows matched: 3 Changed: 3 Warnings: 0

3.update the password with new password

mysql> update user SET password=PASSWORD("sudheer")where User="root";

4.flush privileges.

mysql> flush privileges;

Query OK, 0 rows affected (0.00 sec)

5.exit from prompt

mysql> quit;

Bye

6.test new password is working or not?

sudheer@VY-B3:~$ mysql -u root -p
Enter password:sudheer