Question Number 90783 by john santu last updated on 26/Apr/20
$${can}\:{inflection}\:{point}\: \\ $$$${be}\:{a}\:{max}\:{or}\:{min}\:?\: \\ $$
Commented by jagoll last updated on 26/Apr/20
$${given}\:{a}\:{curve}\:{y}\:=\:{f}\left({x}\right)\:.\:{a}\:{point}\: \\ $$$$\left({x}_{\mathrm{1}} ,\:{f}\left({x}_{\mathrm{1}} \right)\right)\:{is}\:{a}\:{inflection}\:{point} \\ $$$${if}\:\left({i}\right)\:{f}\:{is}\:{continous}\:{at}\:{P}\: \\ $$$$\left({ii}\right)\:{the}\:{curve}\:{changes}\:{from}\: \\ $$$${concave}\:{to}\:{convex}\:{or}\:{from}\: \\ $$$${convex}\:{to}\:{concave}\:. \\ $$$$ \\ $$