Which of the following best describes the conditions that must be met for to be a…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Which of the following best describes the conditions that must be met for

x=c

to be a point of inflection for a twice-differentiable function

h

on an open interval? (a)

h''(c)=0

and

h

is continuous at

x=c

. (b)

h'(c)=0

and

h''

changes sign at

x=c

. (c)

h''

changes sign at

x=c

, and

h

is continuous at

x=c

. (d)

h''

changes sign at

x=c

but continuity of

h

x=c

is not required.