This week in AP Calculus, we came to the end of chapter 3, finishing with learning about inverse trigonometric derivatives , exponential derivatives, and logarithmic derivatives. These rules are pretty simple, inverse trigonometric derivatives being the only ones that I will probably have trouble remembering because of how similar they all are. These are also pretty simple derivatives to be solved separately, but, as always, these just add more to the mess of things to have to take into account when doing more complex derivatives.
I think the biggest problem I've had this week is making sure I properly make use of multiple rules of derivatives. Solving a derivative that only requires one rule to be used is easy, but combining a few of them, such as the chain rule with an inverse trigonometric derivative, it becomes a mess to try to simplify. A lot of the time I end up looking at a problem and wondering if it can be simplified further or not, or maybe if I just simplified it wrong. If I do this I end up being too worried about it, and I just change it back to something only partially simplified.
I think the biggest problem I've had this week is making sure I properly make use of multiple rules of derivatives. Solving a derivative that only requires one rule to be used is easy, but combining a few of them, such as the chain rule with an inverse trigonometric derivative, it becomes a mess to try to simplify. A lot of the time I end up looking at a problem and wondering if it can be simplified further or not, or maybe if I just simplified it wrong. If I do this I end up being too worried about it, and I just change it back to something only partially simplified.