This week in Calculus we studied related rates. I found this section interesting because I feel like it’s one of the first things we’ve looked at as a class that shows applications of derivatives past more abstract math stuff. Optimization fits into that category for me too. However, Even if I am finding this slightly more interesting than previous subject matter, I am still absolutely shocked and upset that the tedious and painful problems from last chapter have now been put into words and turned into some kind of sick puzzle game. Related rates is an application of implicit differentiation and when I thought math couldn’t get worse, oh boy, was I wrong. Once I got past the puzzle aspect of the solving process related rates problems really are not that bad. I found the list of steps Mr.Cresswell gave us extremely helpful and probably the best way anyone could have started off that lesson. First It’s important to draw a diagram of the situation the problem is explaining a label it. Then find a mathematical model that relates the things that are changing. Once that is done take the derivative of the model. Write out all of the information you have on the value of the variables and plug them in.
I forgot to take pictures of anything relavant so please enjoy this picture of Thomas from our whiteboarding activities: