Givena sign diagram for f' (x) what occurs in the function f(x) when x = c2if at point c2on this diagram the sign of the first derivative changes from positive to negative?

a.)c2is the locations of a local maximum for f(x)

b.)c2is the location of a local minimum for f(x)

c.)Not enough information to tell.

d.)c2is the location of an inflection point for f(x)