relative max of f occurs when f'.. - (correct answer)crosses x axis (positive--negative)
relative min of f occurs when f'.. - (correct answer)crosses x axis (negative--positive)
function increasing when f'.. - (correct answer)is positive (above x axis)
function decreasing when f'.. - (correct answer)is negative (below x axis)
function is concave down when f''.. - (correct answer)is negative (below x axis)
function is concave up when f''.. - (correct answer)is positive (above x axis)
when f'(x) is increasing, f is - (correct answer)concave up; f'' is positive
when f'(x) is decreasing, f is - (correct answer)concave down; f'' is negative
function has a POI when f' is - (correct answer)a max/min OR when f' changes direction
(inc-dec/dec-inc)
relative min of f occurs when f'.. - (correct answer)crosses x axis (negative--positive)
function increasing when f'.. - (correct answer)is positive (above x axis)
function decreasing when f'.. - (correct answer)is negative (below x axis)
function is concave down when f''.. - (correct answer)is negative (below x axis)
function is concave up when f''.. - (correct answer)is positive (above x axis)
when f'(x) is increasing, f is - (correct answer)concave up; f'' is positive
when f'(x) is decreasing, f is - (correct answer)concave down; f'' is negative
function has a POI when f' is - (correct answer)a max/min OR when f' changes direction
(inc-dec/dec-inc)