Finding all of the Ashes of War in Elden Ring won't happen quickly, but there are some good early-game ones you can find early. Determination is one of these, and it's available right in the Limgrave opening region. Find it early and you can have an easier time with some of the big enemies.
Its weapon skill boosts the power of your next attack, making it a very useful option when buffing pre-battle, though you can also use it mid-fight if you can get some space between you and your opponent. Ash of War: Determination's item description reads:
A knightly Skill. Hold the flat of the armament to your face and pledge your resolve, powering up your next attack.
Kill the scarab by the bridgeKilling the scarab should be very easy if you've brought along any melee weapon or a decent spell. Just don't relent once you've started attacking, as the scarab will run away and disappear rather quickly if you do. There is a Site of Grace to the northwest of the bridge (as seen in the photo above) if it manages to escape and you need to reset the encounter. Either way, once it's dead, you'll automatically receive Ash of War: Determination.
With Ash of War: Determination found, maybe it's time to venture forth and track down Ash of War: Gravitas and Ash of War: Unsheathe.