Mathematics

Problem

The derivative of a continuous function

g

satisfies

g'(x) > 0

for

x < 2

and

g'(x) < 0

for

x > 2

. What can you conclude about

x = 2

? a)

x = 2\text{ is a point of inflection}

\text{No conclusion about extrema can be drawn}

g(2)\text{ is a local maximum}

g(2)\text{ is a local minimum}