This week we continued applications of derivatives. I am ok with that because I think the problems are quite a bit more interesting than other types of assignments. I love actually figuring things out, and so I think that this type of math is interesting to me. I am still not great, but that's okay because I don't think anyone in this class is great at them. They are pretty challenging at times. The multiple rates problems are definitely the most difficult thing that we have studied so far in this class. I think that it is really fascinating solving problems where water is poured into a container and we have to figure out rates and such. I think that this article is interesting,
I have been thinking about going into the engineering field of study for college and the rest of my life so if I end up taking this path, derivatives and this type of calculus will be useful. Overall, I think that derivatives are very interesting. They are something that I would have never even thought of. I think it takes a real genius to actually invent this, because it's not like it's something that just comes to mind. Finding the instantaneous rates of change of a function? Finding the instantaneous rates of change of the instantaneous rates of change of a function? It's really all brilliant. It seems like the kind of thing that just comes to you, in the middle of the night, and you are scrambling to find the nearest paper to write down your thoughts before they mysteriously vanish. And then, to link that to solving types of problems like filling stuff with water, and finding how quickly the speed of a Ferrari goes, and how quickly the shadows of things move, it's interesting. I am not sure what this picture is of, but it seems interesting.
Ever since I was a little kid, I have thought of this situation. You are standing at the side of the road, looking at a car, miles and miles away. Assume that the car is traveling very quickly. As the car approaches, and you are staring directly at it, I have always wondered how you could model how quickly your head would be turning to look at it, because it would be turning very quickly as the car is right in front of you. You could use applications of derivatives to solve this type of thing.
I have been thinking about going into the engineering field of study for college and the rest of my life so if I end up taking this path, derivatives and this type of calculus will be useful. Overall, I think that derivatives are very interesting. They are something that I would have never even thought of. I think it takes a real genius to actually invent this, because it's not like it's something that just comes to mind. Finding the instantaneous rates of change of a function? Finding the instantaneous rates of change of the instantaneous rates of change of a function? It's really all brilliant. It seems like the kind of thing that just comes to you, in the middle of the night, and you are scrambling to find the nearest paper to write down your thoughts before they mysteriously vanish. And then, to link that to solving types of problems like filling stuff with water, and finding how quickly the speed of a Ferrari goes, and how quickly the shadows of things move, it's interesting. I am not sure what this picture is of, but it seems interesting.
Ever since I was a little kid, I have thought of this situation. You are standing at the side of the road, looking at a car, miles and miles away. Assume that the car is traveling very quickly. As the car approaches, and you are staring directly at it, I have always wondered how you could model how quickly your head would be turning to look at it, because it would be turning very quickly as the car is right in front of you. You could use applications of derivatives to solve this type of thing.