Hello /sci/,
I was doing some homework for my economics class when I happened upon this homework problem concerning Taylor's rule. Most of the time the highest level math I need to know is basic algebra, but this rule required us to derive.
Calculus is a mystery to me and I don't understand how all the manipulation that go into reducing many terms into a finite equation works. Thankfully the assignment provided the derived form of the equations used, but I was wondering if any of you math wizards could explain how this derive happened?
Also, how do I get better at higher level math? Is it simply a matter of remembering rules for manipulation or is there some other key? I look at it and it's as if I'm trying to read mandarin Chinese.
http://www.math.smith.edu/~rhaas/m114-00/chp4taylor.pdf
first order approx of f(x) is just
f(a) + df/dx(a) * (x-a)
notice that you must know f(a) , usually a=0.
The approx holds for a small neighborhood [x-d,x+d]
You probably just need to get used to the notation and learn more about infinite series.
Taylor series are used pretty much everywhere, they're very basic (maybe too much). You're basically approximating the graph of a function with a polynomial function (usually a straight line), as you can guess it's a horrible approximation except in a very small region of the graph.
>>8496144
Thanks for the reply anon, I will ready that pdf and try to figure this out.
>>8496120
>Business Student
Learn LaTex
Now you understand why it's important to learn basic shit in high-school.
>>8496120
>explain how this derive happened?
>how this derive happened?
>this derive
Horrid math grammar skills bub
>>8496120
[math]Let: \\P=\frac{1}{1-C_y}[/math]
So for what we have [math]Y=P(C_0-C_y T+I_0+G) \\then~ Y=(PC_0-PC_y T+PI_0+PG)[/math]
Your knowlegde of how 0's work goes here after.
Delta is RateofChange (Derivative): [math]\Delta[/math]