Post #36

HELLO EVERYONE!!!...I hope yall don't forget to do blogs with this GREAT weekend!
so, this week, as usual, we took more AP test...non-calculator multiple choice MONDAY...calculator multiple choice TUESDAY...calculator free responce WEDNESDAY...non-calculator free responce THURSDAY!...&& FRIDAY..that was SENIOR DAY..& it was really fun =)

so, once again i will go over what i know. i don't have many questions because B-Rob offers to help at lunch every day for free responce and the multiple choice we've been working on for corrections!...so here's what i know and that you should know in order to pass this AP Exam.


RELATED RATES:
Steps:
1. Identify all variables and equations
2. Identify what you are looking for
3. Make a sketch and label
4. Write an equation(s) involving your variables (only have 1 unknown)
5. Take the derivative with respect to TIME!
6. Substitute in the Derivative and solve

limits:
Rule #1 - When the degree (exponent) of the bottom is GREATER than the degree of the top, the limit is Zero.
Rule #2 - When the degree (exponent) of the bottom is SMALLER than the degree of the top, the limit is infinity. (positive or negative)
Rule #3 - When the degrees are equal, the limit is the coeffecients.

linierazation:
The steps for solving linearization problems are:
1. Pick out the equation
2. f(x)+f`(x)dx
3. Figure out your dx
4. Figure out your x
5. Plug in everything you get

implicit derivatives:
First Derivative:
1. take the derivative of both sides
2. everytime you take the derivative of y note it with dy/dx or y^1
3. solve for dy/dx

Second Derivative:
first you find the first derivative and solve it for dy/dx by using the steps for the first derivative steps.
you then take the second derivative of the solved equation. Plugging in d^2y/d^2x everytime you take the derivative of y again. and where you have dy/dx you plug in your solved equation for that.
once you have everything plugged in and ready to go you then solve for d^2y/d^2x

Intermediate Value Theorem:
1. if f is continuous on [a,b] and k is any number between f(a)and f(b), then there is at least 1 number c when f(c)=k.
* basically you cannot skip any y value

HOW TO FIND THE EQUATION OF A TANGENT LINE: [I always miss this one or do it wrong for some reason…so I went look up the directions of how to solve them.]
1. take f1(x)
2. plug x in to find your slope m
3. plug x into f(x)to get y
4. using m and (x,y) plug it into the equation (y-y1)=m(x-x1).

well, good luck and remember that the AP is on May 5th!
I hope everyone has a great weekend .. SeniorDay-Movies-Sleepover-Prom-PromMania-Sleepover-Hooters-FRIENDS =) ..

~ElliE~