Consider the function f(x) = x^2 − x −1/2ln(x^2). (a) Find critical numbers and the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimum values of f.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(1) Consider the function f(x) = x^2 − x −1/2ln(x^2).
(a) Find critical numbers and the intervals on which f is increasing or decreasing.
(b) Find the local maximum and minimum values of f. 

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So what happened to the 1/2 in front of the ln(x^2)

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Isn't the derivative lnx^2 = 2x/x^2?

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