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### 8 Cards in this Set

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 FTC if a function is continuous on [a,b] and F is the antiderivative of f on the interval [a,b] then [∫b to a] f(x) d(x)= f(b) - f(a) MVT if f is continous on the closed then there exists a number c between [a,b] such that: f'(c)= f(b) - f(a) / b - a average rate of change slope average value of a function f(c)= 1/(b-a) [∫b to a] f(x) dx rolle's theorm if f is continuos on [a,b[ and differentiable on (a,b) and f(a)=f(b) then there exists a c such that f'(c)=0 EVT if f is cont. on [a,b] then there must exist a min and a max IVT if f is cont. on [a,b] and the number k exists btwn f(a) and f(b), then there much be one number c in [a,b] such that f(c)=k for a limit to EXIST.. the limit from the left must be equivalent to the limit on the right