For a differentiable function

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

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