Mathematics

Problem

For a differentiable function

g(x)

, the sign of

g'(x)

is given by

g'(x)>0

for

x<2

g'(x)>0

for

x>2

. Which of the following best describes

x=2

for the function

g

? a) Point of local maximum b) Neither maximum nor minimum c) Point of inflection d) Absolute maximum on the entire real line