f, f', f'' Connections YASSS

AB CALCULUS AP

f is increasing

f’ is postive

f is decreasing

f’ is negative

f has a relative max when

f’=0 and it goes from postive to negative

f has a relative min when

f’ goes from negative to postive

f is concave up when

f’ is increasing

f is concave down

f’is decreasing

f has an inflection point when

f’ reach relative extrema

f’ is increasing when

f’’>0

f’ is decreasing when

f’’<0

f’ reaches relative extrema when

f’’=0 and chnages sign