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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/(ba) [∫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
