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mean value theorem
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Terms in this set (4)
mean value theorem
1. f is continuous on closed interval [a,b]
2. f is differentiable on the open interval (a,b)
There is number c in (a, b) such that
f'(c) = f(b) - f(a) ÷ b-a
rolle's theorem
1. f is continuous on the closed interval [a,b]
2. f is differentiable on the open interval (a,b)
3. f(a) = f(b)
There is number c in (a,b) such that f'(c) = 0
extreme value theorem
If f is continuous on a closed interval [a,b], then f gets an absolute maximum value f(c) and an absolute minimum value f(d) at some numbers c and d in [a,b]
differentiable/continuity
if f is differentiable at a, the f is continuous at a
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