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5 Cards in this Set
- Front
- Back
- 3rd side (hint)
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A function f is continuous at a number a if |
lim (x->a) f (x) = f (a) |
A needs to exist |
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The derivative of a function f at a number a is f'(a) = ____________ if this limit exists |
lim (h->0) (f (a+h)-f (a))/h |
H form of a derivative |
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The intermediate Value Theorem (IVT) says |
If a function f is continuous on [a,b ] and N is a number between f (a) and f (b), then there is a number c in (a,b) such that f (c) = N |
The area in between exists |
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_______ Theorem says "if f is continuous on a closed interval [a,b], then f attains an absolute maximum value f (c) and an absolute minimum value f (d) at some numbers c and d in [a,b]." |
The Extreme Value |
It's ABSOLUTE!! |
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A function F is called an anti derivative of f on an interval I if ________ for all x in I. |
F'(x) = f (x) |
Same on each end |
