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I highly doubt we will need to show the derivations. Dr. Lavelle just showed us the derivations so we understand where the formulas came from so we wouldn't blindly memorize these formulas without knowing where they came from
It's probably best to understand the reasons behind the derivations we learned in class as the logic used when deriving each equation could be helpful on a conceptual question on a future test or midterm, but I agree with the post above in that I think it's super unlikely we'll need to derive any equation on a future test or midterm.
I don't think it is necessary to know the derivations (like on past test in 14A we didn't need to know), but it's definitely helpful to know how you derive it because it can help understand the formula better.
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