For a differentiable function

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

Problem

g

, it is given that

g'(3)=0

and

g''(3)=0

while

g'''(3)\neq 0

. What can be concluded about the point

x=3

? (a)

g(3)

is a local maximum. (b) The nature of

g(3)

cannot be concluded with the given information. (c)

x=3

is a point of inflection (no local extremum). (d)

g(3)

is a local minimum.