This week we learned a couple of new theorems as we started the 2nd 9 weeks. yay.
We are on chapter 3, which involves extrema and critical numbers
Rolle's Theorem: Helps you find out if there is at least one max/min, but not how many
The Mean Value Theorem: Gives you the slope of a sec line that equals the slope of tan line between an a and b.
First Derivative Test: Shows where the max/min is by finding where it is increasing/decreasing
The first 2 theorems you need to make sure the function is continuous and differentiable
For the First Derivative Test, take the derivative and set = 0, then solve for x, find intervals, plug into the original equation.
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