Mathematics

Problem

Let

g

be continuous at

x=0

and differentiable for

x\neq 0

. If

g'(x)<0

for

x<0

and

g'(x)>0

for

x>0

, then

x=0

is: a) a point of inflection b) neither maximum nor minimum since

g'

is undefined at

0

c) a point of local minimum d) a point of local maximum