Post #23

so this week was reviewing the AP which..i defidently needed
i think i understand the non-calculator portion now..but since i missed thursday because of BETA Convention [which was soo much fun =) i'm glad i went] i missed out on all the notes that were taken in class. however, thanks to steph, i did get them, but it's not the same as going through them with mrs robinson explaining every detail, so my question is how to do most of the calculator portion so if you wanta explain any of those from 30-41 you would like to explain would be great!

lets go over a few things shall we:

Equation of a tangent line:
Take the derivative and plug in the x value.
If you are not given a y value, plug into the original equation to get the y value.
then plug those numbers into point slope form: y − y1 = m(x − x1)

Finding critical values:
To find critical values, first take the derivative of the function and set it equal to zero, solve for x. The answers you get for x are your critical values.

Absolute extrema:
If you are given a point, plug those numbers into the original function to get another number. Alos, solve for critical values and plug those into the original function. Once you get your second numbers, you set each pair into new sets of points. The highest point is the absolute max and the smallest point is the absolute min.


ON THE NON-CALCULATOR PORTION:

number four---i didn't understand how to use the table until we sat down and reviewed it---this is how you work this problem:
your key word[s] is average rate of change on [1,4]. since we were given a table, and the interval of function f, we look at the table to find the answer. in order to do this, we plug in [f(b)-f(a)] divided by [b-a]. Therefore, you look at the table and f(b)=6 and f(a)=2 so that's 6-2 divided by 4-1 which is 4/3.

number five---also with the table---this is how you work this problem:
your key word[s] is h'(3)= we know we need to take the derivativoe of h which is g'(f(x))times f'(x). then we look at the tabele to find what is needed. f(x) = 4 and then f'(x) is 2. g'(4) = 3 so when you put this together it gives you 1!

hope this helps!
~ElliE~