1
Q
MVT
A
If f is continuous on [a,b] & differentiable on (a,b) then there exists c in (a,b) such that f’(c) = f(b)-f(a)/b-a
2
Q
F(x) :Increasing
A
F’(x) is Positive
3
Q
F(x) :Decreasing
A
F’(x) is Negative
4
Q
F(x) has a Relative Max
A
F’(x) - X intercept changes from Pos. to Neg.
F’’(x) - Negative
5
Q
F(x) has a Relative Min
A
F’(x) - X intercept changes from Neg. to Pos.
F’’(x) - Positive
6
Q
F(x) has an Inflection Point
A
F’(x) has a Relative Max. or Min.
F’’(x) - 0 or undefined & changes signs
7
Q
F(x) is concave down
A
F’(x) is Decreasing
F’’(x) is Negative
8
Q
F(x) is concave up
A
F’(x) is Increasing
F’’(x) is Positive
AP BC Calculus
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