we Learned alot! it is hectic!
Rolles thereom - this thereom states that for a said closed interval that is continous and differentiable at that interval when the function of a is equal to the functin of b then there is a given number C which equals zero in that interval.
f(a)=f(b), then f(c)=0
Optimization- a process that "stretches" an equation. first you determine all quantities of the equation, then you write a new equation, reduce it and determine the domain of the equation, then from there you determine the max's and min's of the equation. optimization is usefull when dealing with area and volume.
Mean value thereom - somewhat like rolles. says that if a function is continous and differentiable then, f^(c) = f(b)-f(a)/b-a. saying that when its continous and differentiable on the interval then the value c exist on that interval.
The main thing that i am stuggling with is optimization. like i can list the steps but when it comes to working a problem with it I get stuck and dont even know what to do. Rolles and Mean is not as difficult to me because it reminds me of the first derivative test for some reason. I just need more work and help with optimization.
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