I had to give an important talk about my field. Then during the talk a professor asked a question, he wanted me to give an example in a different situation. I tried to remember and told him the equations I recalled (I didn’t work with that for quite some time now), but then I realized after the talk I made a small mistake in each. The formulas were slightly different, but the difference is important.
In any case, the issue is that the talk is recorded and will be on youtune. If not for that, people would most certainly forget this, but it is recorded. Is it super bad that I messed up that and didn’t remember it properly? Or is it acceptable? I’m a postdoc, and this was really the first more important talk I gave.