Rules For Critical Number, Extreme Values, Point Of Inflection Flashcards
1
Q
F(x) is decreasing if
A
F’(x)
2
Q
F(x) has relative/local max if
A
F’(x) changes from + to -
3
Q
F(x) has relative/local min if
A
F’(x) changes from - to +
4
Q
F(x) is concave up if
A
F’‘(x) >0, f’(x) is increasing and f(x) has relative/local min
5
Q
F(x) is concave down if
A
F’‘(x)
6
Q
Critical number
A
F’(x) =0 or undefined
7
Q
Point of inflection
A
F’‘(x)=0 or undefined and (if function given), f’‘(x) changes signs
(If graph given) f’(c) changes from increasing to decreasing or vice versa
8
Q
F(x) is increasing if
A
F’(x) >0
