Since this week is exam week I’ve been reviewing over all my notes and the thing that I don’t understand is chapter three the first sections we did so I’m going to review those sections. We learned how to use Roole’s Theorem and when you can use it. You can only use Roole’s Theorem when you are tring to find a max or min or trying to prove there is a max or a min. the rules are:
1. make sure its continuous
2. make sure its differentiable
3. make sure the y values match
4. take the derivative and set it equal to zero and solve for x.
we also learned how to use the mean value theorem. You use this when the average “rate of change” the rules that you need to use when you are using this theorem:
set the derivative equal to zero to the slope between two points and there has to be a value x you can solve for if it is continuous and differentiable on the interval.
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