How do I identify the intervals and relative extrema of g(x)=(x^2)-x-ln(x)

Question

Can someone help me identify g(x)= (x^2)-x-ln(x) in these areas?

a) The intervals on which f(x) is increasing or decreasing.

b) Identify all relative extrema within coordinated points.

c) Identify the intervals of concavity and inflection points.

Answer 1

Find the first derivative to answer questions (a) and (b), and the second derivative for (c). Can you use a graphing calculator for this? Do you need help with the algebra?