a growl at first startup, quieting within 1-2 seconds is the tensioner pressurizing. A speed related tick would be the lifters. A tick that gets louder with engine temperature is the injectors.
A whine that is just at the very start, from what Ive seen, is a slightly incorrect adjustment or wetness on the accessory belts. The alternator is heavily loaded after sitting in the colkd and then doing a cold start... so its putting a lot out. If the belts are glazed, loose/tight, etc., they will whine a bit.
Check your belts
JMH