This week was the first full week spent on derivatives. On Friday we learned what exactly a derivative was. I realized the reason that we did limits as our first section was because to find a derivative of a function you have to find the limit as h approaches 0. We also talked about continuity because when finding if a function is differentiable it has to be continuous.
I also noticed that back in my week 2 blog post the picture that I used was what we had been using all week to find the derivative of a function, and at the time I had no clue what the thing had meant besides the fact that it said “I like pushing things to the limits.” So the things we learned are building on each other which is pretty cool.
Besides that we are building upon things we actually learned a lot of new concepts this week in terms of derivatives (which I had only heard we were going to be spending a lot of time on from past calculus student). I had no clue there were different ways to write derivatives, what differentiability was, or that there were rules for differentiation.
I am actually not to overwhelmed by all these new things and found it to be pretty easy things to grasp. I kind of scared for what is going to come next week because you said this is the point where students start to hate you, but I am ready to learn more about what you can do with derivatives.