You are not a jerk. But you are not smarter than your dad either. Everyone has their own ability,lifestyle, outlook & knowledge, & everyone gain knowledge in different ways, everyone in this world is part of a puzzle that complete each other. Everyone has different knowledge & abilities, there's one or two main knowledge that people focus to earn & gain experience in it, & there's social knowledge which is about different topics. So we are not smarter than each other in general but only maybe we can count that in particular subjects which yet in my opinion it wouldn't be suit.
For example in so many diseases that you might get, you visit the doctor so you're telling that doctor is smarter than you ? No, he just chosen his path & studied about a particular part in medical field, that's all.
So there gonna be tons of things that your dad knows about & different abilities he's got that you can't even imagine. The same with you in compare of him, none of you are smarter than each other. Everyone one of us just choose different varied fields to gain our knowledge on it.
The world is so bigger than you can imagine, the smartest person that would claim they know everything, one day they'll face wow there's a lot of things they don't know yet & how much they are behind.