More chain rule!!! What fun!!! Actually it's not bad. This week we did a bunch more practice of that, and learned how to anti derive with the chain rule. Also this is random question I just had now, but I wonder if it's possible to do the limit of h is 0 method to find the derivative of these type of functions. My intuition says yes, but I haven't really thought about it in depth. So far, I actually like calculus. The math behind it I think actually think is cool, like finding the second and third derivatives, and how its acceleration and jerk. Even the math itself isn't bad. The thing I don't like about it so far, is there is so many rules. Like at first I thought now we knew how to find the derivative of any function, and some would just be messier and more math and take longer than others. But it turns out that's not the case. We keep learning more and more rules, which is annoying but there's nothing we can really do about it. But now I'm wondering even at the end of the class will there still be functions we didn't learn how to derive. I hate the concept of like when teachers say about a certain problem, "well on these ones you can't do this formula/method, but don't worry we won't do any like that." It's not the teachers fault, like I'm glad they're not trying to kill us with so much work, but at the same time it annoying because like we can't really find the derivative of everything, just certain equations, catered to our classroom. I don't know if any of that made sense, but yeah lol.
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This week we learned the chain rule. I was gone that day so it was a little tricky. I had looked at it the night before to do the book assignment and I learned how to do it, but I didn't really understand it. I didn't get when and why we had to use it. But I eventual figured it all out though. Another little thing that bothers me is I still don't understand the dx/dy thing. It doesn't really matter and I can still do it all, but its just annoying. And we just keep using it more and more for d/dx and du and all these other things I'm probably mis-quoting. Its just do much simpler to do y' or f'(x). Anyways, we also did more derivatives practice and stuff. We did more practice with trig derivatives. I don't know what else to write about. usually I bs stuff and just talk a lot extra about stuff but I really don't want to right now.
This week we did more derivatives. Last week we learned how to do it using the limit 0 of h method, but this week we are learning how to do it faster ways. We also learned how to take the derivative of a derivative. We did it up to 5 levels. At first it sounded completely useless, but of course there was a reason. For position/time graphs, the derivatives can find the velocity, acceleration, and jerk. So far all of this stuff is pretty easy I think. The hardest part is having to memorize a lot of identities and rules. That's one reason I kind of like the limit of h is 0 method. Its just algebra and doing math. You don't have to have all these rules and identities memorized. But I do like that all the rules and things do speed it up a lot. We also did anti derivatives, which supposedly are called integrals Nick said.
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January 2018
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