Suppose g is differentiable at x=2 and g′(x)>0 for x<2 while g′(x)<0 for x>2. Which statement is true about g at x=2?
a) x=2 is a point of inflection of g
b) g is strictly increasing at x=2
c) x=2 is a point of local maximum of g
d) x=2 is a point of local minimum of g