unit 5 Flashcards
1
Q
fx increasing when?
A
f’(x) >0
2
Q
fx decrease when
A
f’x<0
3
Q
fx concave up when
A
f”x>0 and f’x is increasing
4
Q
fx concave down when
A
f”x<0 and f’x is decreasing
5
Q
f’x change from pos to neg at x=c means
A
relative max at fx
6
Q
f’x change from neg to pos at x=c means
A
rel min on fx
7
Q
f’c=0 and f”c<0
A
rel max
8
Q
f’c=0 and f”c>0
A
rel min
9
Q
f” change from pos to neg or neg to pos
A
point of inflection
10
Q
f’x incr to decr or decr to inc
A
point of inflection
11
Q
when is there a relative max
A
f’ changes from pos to neg
when =0 f”<0
12
Q
when is there rel min
A
f’ neg to pos
or if 0
f”>0
13
Q
inflection points
A
f” change pos neg
f’ incr to decr
