Relative Extrema
if f' = 0 or DNE, f has...
a critical value
if f' changes from positive to negative, then f has...
a relative max
if f' changes from negative to positive, then f has...
a relative minimum
if f has a POI, then f''...
changes sign
if f has a POI, then the slope of f'...
changes sign
if f' is increasing, then f is....
concave up
if f'' is positive, then f is...
concave up
if f is concave up, then f' is...
increasing
if f' is positive, then f is
increasing
if f'' is positive, then f' is...
increasing
f has a critical value when f'...
is equal to zero or DNE
f has a relative maximum when f'' is...
negative
f has a relative minimum when f' changes from...
negative to positive
f has a relative minimum when f'' is...
positive
f is increasing when the graph of f' is...
positive
if f is concave up, then f'' is...
positive
if f' is increasing, then f'' is...
positive
f has a relative maximum when f' changes from...
positive to negative
