omg most of my notes are pictures...:\ i drew them, but it helps lol you should see cleopatra. :P she a secsay little thang XD

Extreme Value Theorem (evt)- If f is continuous on a closed interval [a,b], then f attains an absolute maximum value f(c) and an absolute minimum value f(d) at some numbers c and d in [a,b]

Fermat's Rule- If f has a local max or min at c and if f`(c) exists the f`(c)=0

Rolle's Theorem- let f be a continuous function on the closed interval [a,b] and differentiable on the open interval (a,b). If f(a)=f(b) then (giant backwards E)cє(a,b) for which f`(c)=0

Mean Value Theorem (MVT)- let f be a continuous function on the closed interval [a,b] that is differentiable on (a,b).Then (giant backwards E)cє(a,b) s.t. f`(c)= (f(b)-f(a))/(b-a)

L'Hospital's Theorem- suppose f and g are differentiable and g`(x)≠0 near a (except possibly at a). Suppose that:
1.)lim x->a f(x)=0 and lim x-> a g(x)=0 or that
2.) lim x-> a f(x)= +/- ∞ and lim x-> a g(x)= +/- ∞
then lim x-> a [(f(x))/(g(x))] = lim x-> a [(f`(x))/(g`(x))]

i dont think this works. i still dont understand