Tri 2 Week 9: Slope Fields & Separable Differentiable Functions

This week we start off learning about the wonderful idea of "Slope Fields" and halfway through the said week, we have a quiz on 6.1 and 6.2. After that was all over with we start learning about the new concept called: "Separable Differentiable Equations." 

To be honest, when I first so what Slope Fields actually meant I was very turned off by it because of how simple it seemed to look and how it was just basically drawing in estimates of what you think the slope would look in that exact point in the graph. But it was more than that, Slope Field problems gives you a derivative equation and you have to figure out the slopes of each point by plugging in x and y value at an exact point. It is rather tedious because you have to do this for EVERY POINT IN THE GRAPH. Well I guess it isn't all bad since there was often a pattern to how the slopes were going to go. But when there wasn't, it was a pain. But yeah, Slope Fields are pretty easy.

Like I said in the beginning we took a quiz on the 6.1 and 6.2 sections that we learned. I didn't think it was that hard. But then again, after I get the quiz I'll probably some stupid mistakes that I made that caused me to lose points. It's pretty sad how I already expect it to happen, but I know it will so might as well be ready for it.

Before we ended the week, we learned about the idea of "Separable Differentiable Equations." It basically looks the same as Implicit Differentiation, except you're gonna have to anti-derive at some point and arrive at an answer that looks like a potential original function for the derivative given.