justifications
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f has a relative maximum when f' ______ and f'' is _______
0, decreasing
f has a relative minimum when f' ________ and f'' is _________
0, increasing
f has a point of inflection when f''
changes sign
f is concave down when f' is
decreasing
f has a relative maximum when f' changes
from positive to negative
f is concave up when f' is
increasing
If f' is decreasing what is f''?
negative
When f is decreasing then f' is
negative
relative minimum
negative to positive
If f' is increasing what is f''?
positive
when f is increasing, then f' is
positive
relative maxium
positive to negative
if f'' < 0
then f has a relative maximum
if f'' > 0
then f has a relative minimum
