Okayy, so I'm going to go over some derivative rules and identities because while I was doing the homework I quickly realized that I do NOT remember how to do derivatives because I'm so in integral mode..
So, let's get it.
**The formula for quotient rule is vu^1-uv^1/v^2 or the derivative of the top times the bottom – the derivative of the bottom times the top over the bottom squared.
An example is sin x / x-1. Take the derivative of the top which is (cos x) times the bottom (x-1) – the derivative of the bottom (1) times the top (sin x) over the bottom squared (x-1) ^2.
From there, it is just simple algebra.
The answer comes out to (cos x) (x-1)-sin x/(x-1) ^2.
*You do not use quotient rule when there is only an x on the bottom.
*You just bring the x to the top and make the exponent negative then use the formula U^n.
**Another thing is the product rule..if everyone remembers it.
(first)(derivative of second) + (second)(derivative of first)
**Third, you need to remember when to use chain rule..
*when you have something inside something or something raised to something with a variable..
Also, remember all the trig functions are THE OTHER way around..
Like
Sin = cos
Cos =-sin
Tan = sec^2
Sec = sectan
And so on…
The thing I need most help with is where to go after root test when doing power series…like I get an answer then take the limit then what? And also, what are the quiz orders and when are we taking the HUGE test on everything? THANKSSSS J
I think once you take the limit that you have to make sure it is greater than 1 to make sure it converges.
ReplyDeleteactually. you should have the limit of the absolute value less than one. if the limit gives you say x-2, you make it -1<x-2<1 and solve for x (you change the less than because it's absolute value. :D
ReplyDelete