Post # 11

This week in Calculus we reviewed and I began to understand many new things. Things that i understand include related rates, they came to my understanding with time. I still have trouble with the problems when it isn't clear how to figure out what everything is like your dy/dx and that kind of stuff.

So, related rates:

1. Pick out and identify all variables and equations
2. Find out what you're looking for
3. Make a sketch and label what you know so far and what you're looking for
4. Find all equations
5. Take derivative with time in mind..
DON'T TAKE DERIVATIVE UNTIL YOU CHECK HOW ANSWER CHOICES ARE
6. Plug in derivative and solve

Example Problem:

dx/dt y + dy/dt = 0
now plug inn..
dy/dt = -10y/8
= -5y/4

not so hard..they are really easy if you practice them alottt.

So, the thing i don't understand is when to put dx/dt behind taking the derivative of x..
do you do it every time, only sometimes, or for certain equations?

So, implicit derivatives for the third week. Are still as easy as ever, i think the hardest part of an implicit derivative is remembering to put the dy/dx behind taking the derivative of y.

BUT THAT IS VERY IMPORTANT, YOU DON'T PUT DY/DX BEHIND THE Y, YOU PUT IT AFTER TAKING TEH DERIVATIVE OF Y.

Now, lets talk about linearization. I completely forgot how to do this..but i don't think i understood it when b-rob taught it..

unless im getting my names mixed up, i think these were word problems too..right?