Studied by 4 people
the function f is increasing because f’
> 0 (is positive)
the function f is decreasing because f’
< 0 (is negative)
the function f has a relative maximum because f’
changes from positive to negative
the function f has a relative maximum because f’’
f’ = 0
f’’ < 0
the function f has a relative minimum because f’
changes from negative to positive
the function f has a relative minimum because f’’
f’ = 0
f’’ > 0
the function f is concave up because f’ is
increasing
the function f is concave up because f’’ is
> 0 (is positive)
the function f is concave down because f’ is
decreasing
the function f is concave down because f’’ is
< 0 (is negative)
the function f has an inflection point because f’ has
relative extrema (changes from increasing to decreasing and vice versa)
the function f has an inflection point because f’’
changes sign
