Which of the following best describes a point of inflection of the graph of a…
MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation
Problem
Which of the following best describes a point of inflection of the graph of a twice-differentiable function f?
(a) A value of x at which f′′′(x)=0
(b) A value of x at which f′′(x)=0
(c) A value of x at which f′′(x) equals 0 or is undefined and the concavity of f changes
(d) A value of x at which f′(x)=0 and f′′(x)<0