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| f'(x) * g(x) + f(x) * g'(x) |
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| [f'(x)*g(x) - f(x) * g'(x)/(g(x))2] |
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f(x) at a point x = a provided that f(a) is defined, lim
x->a
exists, and
limf(x) = f(a)
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| A mapping or correspondence between elements of one set X and another set Y such that for every x in X there is only one y in Y corresponding to it. |
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lim [f(x + Δx) - f(x)]/Δx
Δx→0 |
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lim f(x) = L
x→c
means that for each ε>0 there exists δ>0 such that if 0<|x-c|<δ then |f(x)-L|<ε |
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| Let f be continuous on a closed interval [a,b]. Let k be any value between f(a) and f(b). There then exists at least one value of x, c such that f(c) = k. |
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| Intermediate Value Theorem (IVT) |
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