Reflection #11

This week was a beast, an most of what I know came from doin calc wit terrio an Chauvin so I’m gunna do a blog really similar to Terrio, and Chauvin will prolly do one similar to me an Terrio’s. This week we learned a lot about Rolle's Theorem but I am not too good at it but I kind of get the general concept. Rolle’s Theorem is used when you are trying to find a max or a min.

These are the steps:

1.) Make sure the function is continuous
2.) If it is continuous make sure that it is differentiable
3.) Make sure that the y - values match
4.) Take derivative and set equal to 0, then solve for x

Ex :

x^2 - 2 x Find all values c in the interval ( -2, 2 ) such that f'( c ) = 0
1. yes
2. yes
3. f( -2 ) = -2^2 - 2( -2 ) = 8
f( 2 ) = ( 2 )^2 - 2( 2 ) = 8
4. 2x – 2 = 0
2x = 2
X = 1
So x = 0 is your min and x = 8 is your max? this is the part I’m shaky on.