This week was all about more u- substitution and implicit differentiation. Yay! More derivatives! Haha! When will this unit end? It's getting to be a bit much at this point but I'm getting through. I'm starting to really like doing derivatives, they're nice simple math, with definitive rules and regulations. They're amazing. You start to do u-substitution by identifying the u term, then you find u prime, then you make u prime match the rest of the problem, then once you've done all the necessary math, you substitute the original function back in in the place of u, then you've got your brand new derivative. I personally find this method to be unnecessarily difficult in that face of all the other methods we've learned, but whatever floats your boat. We also worked some more on the chain rule this week, which is probably one of the easier derivative rules so far. I didn't super understand it at the beginning but once we did more practice this week, I think I actually got it! The process for it makes way more sense and it's easier to recognize which function is the inside one and when a problem actually requires you to actually use the chain rule. Doing the multiple chain rules in one problem though can get kind of tedious if you ask, but still the end result looks nice.
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January 2018
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