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AP Calc BC Key Vocab 2

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Across
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when f '(x) is increasing
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if f(x) is continuous and differentiable, then there is at least one point c in (a,b) at which f'(c)=(f(b)-f(a))
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If the function f(x) is continuous on [a, b], for all k between f(a) and f(b), there exists at least one number x= c
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if the sum of An converges, then lim An = 0, if lim An does not equal 0, the sum of An diverges
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only converges if |r| < 1
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(uv'-vu')/v²
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f(n) converges if f(x) is continuous, positive, and decreasing
Down
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f(b) - f(a) / b - a
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limit as h approaches 0 of [f(a+h)-f(a)]/h
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when f '(x) is decreasing
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A point in the domain of a function at which f'=0 or f' does not exist
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f '(g(x)) g'(x)
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A process that maximizes or minimizes a quantity
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If the lim as n approaches ∞ of ratio of (n+1) term/nth term > 1 then the series converges
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the sum of 1/n^p converges if and only if p>1