Ap calc theorems
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Last updated 11:08 AM on 5/12/25
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4 Terms
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IVT
If f is continuous on [ab] and k is any number between f(a) and f(b), then there is at least one number between a and b such that f(c )=k
2
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EVT
If f is continuous on the closed interval [ab], then f has a maximum and minimum on the closed interval.
3
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MVT
If f is continuous on [ab] and differentiable on (ab), then there exists a number c on (ab) such that AROC=IROC
4
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Rolled theorem
If f is continuous on [ab] and differentiable on (ab) and if f(a)=f(b) then there exists a number c on (ab) such that f(c )=0
Note 
Flashcards (114)