Realize first they are all people with families, goals, and dreams. You'll identify quickly the ones who could take your job and succeed.
You have 2 options, be fearful of them taking your job and stifle their productivity or build them up so they CAN take your job.
Assuming you're at a company that wants increases in productivity, you should be rewarded for building them up. If not, you still did the right thing and some other company will reward you. Be sure to document all your successes (via data).
my last "corporate" boss gave zero ***** about anyone below him. 10 years later he's in the same spot but most everyone under him has moved on to other companies with better titles and better pay than him.
You might not be able to make a difference but make sure they know you are fighting for them. Example, coach bitching at the ump and getting tossed even though it wasn't a terrible call. They'll work harder for someone they "think" is on their side against the man (those above you). Obviously don't embarrass your superiors in public but standing up for your team in a private conversation will go along way if they know you tried.
on that note, don't bad mouth your superiors to your team, ever. It'll eventually come back to bite you in the ***.
Understand, many of them are better than you at the task at hand. Your job isn't to be the smartest, it's to get your team to solve the problem in the most profitable manner. I worked for and respected several project managers who had absolutely no clue what we did (software development), but they knew what the end goal was and they made sure they cleared the path for us to get there. Always ask them for the solution even if you know the answer.
Don't lambast your employees in front of the team. If they make a mistake, correct them in private. If they continue, meet with them, with your boss. If it persists, you'll have what you need to fire them. If they correct the action then the rest of the team will be none the wiser and the employee won't be pissed at you because you embarrassed them in front of others.
if all else fails, do whatever you think nick saban would do. The man could teach a master class in leadership.