Sunday, November 25, 2012
November 26th - 30th
I hope you all had a great and relaxing Thanksgiving break! This week we will be finishing chapter 4. The chapter 4 test will not be until next Tuesday, though. We are going to spend quite a bit of time with section 4.6 because it is very important. We will be looking at more applications of derivatives; specifically applications of implicit differentiation. There is a video to the right of a related rate problem that might help you with section 4.6. This week, I'd like you to discuss one major thing that you have learned so far in chapter 4.
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In the chapter 4, one major thing is we can see how derivatives can be used to estimate solution to equation. This chapter are using derivatives to determine information about graphs of fuctions and optimization problems.
ReplyDeleteThe major thing what we learn in Ch.4 is application of derivative. We learn how we can use derivative in real life problem.
ReplyDeleteAlthough at first I did not like having to do word problems, now that I fully understand how to do them in section 4.6, this has become my favorite lesson that we have done so far. All of the practice we have had with these problems this week has helped me to be confident in what I am doing!
ReplyDeleteThe biggest thing I learned in chapter 4 is the section over related rates. I find it intriguing that we can use derivatives to find information in what seems like complex situations.
ReplyDeleteA major thing i have learned in chapter four is how derivatives can be used in real world problems. and also in the first section, i learned how to find mins and maxes by using the derivative of an equation.
ReplyDeleteA big thing that we learned in Chapter 4 is how derivatives can be used to find maximum or minimum values for a function. It's nice because it's easy to see how this has application to real life situations as opposed to many other types of math where this is more difficult to see.
ReplyDeleteThe coolest thing that I found in chapter four so far is that I figured out a way to find out a maximum area depending on how much fencing you have. It will help me out a lot with my chickens, and the chicken coop that they live in so they can have lots of room and be nice and cozy!
ReplyDeleteOne major thing that I have learned so far in chapter 4 is how to relate the derivatives to real world situations and using the implicit differentiation in rate of change problems. At first, this concept was hard to grasp, but the more problems I did, I found it becoming easier to make formulas that would apply to the situation. I like the fact that you can use this skill to real world problems, because it shows how I could potentially use Calculus later in life.
ReplyDeleteOne major thing I learned this week in Chapter 4 has been how to find different rates of related things (using implicit differentiation). We could find the rate at which a boat neared a dock at a certain distance away given the angle of the rope pulling it and how quickly that angle is changing at that specific angle. It has many practical and real life uses. It is exciting to finally see algebra and trig all being put together to find practical solutions to problems.
ReplyDeleteThe thing from chapter four that we have and I find most useful is the real world applications of implicit differentiation. Looking at related rates and understanding how you can use the derivatives of common functions and known pieces of data to solve a problem is very useful. It was difficult to get the hang of it and know where to insert the pieces of information but then it became very understandable. I think the problems including volume and the rate at which details about a container are changing is the most practical application of related rates.
ReplyDeleteThe one major thing I learned in chapter 4 is how to apply implicit differentiation to real world situations. It was really frustrating at first but I'm starting to understand it more.
ReplyDelete