Let be continuous at and differentiable for

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

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