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8 Cards in this Set
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- Back
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FTC
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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) |
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MVT
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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 |
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average rate of change
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slope
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average value of a function
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f(c)= 1/(b-a) [∫b to a] f(x) dx
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rolle's theorm
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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 |
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EVT
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if f is cont. on [a,b] then there must exist a min and a max
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IVT
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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
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for a limit to EXIST..
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the limit from the left must be equivalent to the limit on the right
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