For a differentiable function g, it is given that g′(3)=0 and g′′(3)=0 while g′′′(3)=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.