Consider the function defined for .

MATHEMATICS · Multi-part · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider the function

g(x)=\ln x

defined for

x>0

. (i) Find

g'(x)

. (ii) Determine

g''(x)

. (iii) Using the sign of

g''(x)

, explain the concavity of the graph of

g

on its domain and state whether the graph possesses any point of inflection.