Which of the following best describes a point of inflection of a twice-differentiable…
MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
Which of the following best describes a point of inflection of a twice-differentiable function f?
(a) A point where f′′(x)=0.
(b) A point where f′(x)=0 and f′′(x)>0.
(c) A point where f′′ changes sign and the graph of f changes concavity.
(d) A point where f changes from increasing to decreasing.