This video handles the Taming the Beast quest chain from the point just before Thotar gives you a taming Rod for your Dire Mottled Boar in Razor Hill. Thotar will provide you with a number of 3 taming rods, every one is different and lets you tame beasts in the next order: Dire Mottled Boar, Surf Crawler and eventually an Armored Scorpid.

After getting finished the taming Element of the Quest chain, you must head to Orgrimmar and speak to Ormak Grimshot while in the Valley of Honor to be able to unlock your pet managing abilities: Tame Beast; Feed Pet; Revive Pet; and look at this site Beast Training.

Ultimately, remember to go to the Pet Trainer and grab the Pet skills that you have got to give to your pet.