I am having difficulty with this problem, I believe I am doing it right, however my answers and the book's don't correspond.
I used the chain rule and brought out the 3 and got:
3(X-2)^2 (1) = 3(X-2)^2 So my X zero value would be just X= 2 if I am not mistaken. I then used a number line and put 2 on it and used the factors (3 and (X-2) ) to see where it's positive and negative. 3 Is always positive on the number line, however X-2 is negative at >2 so I got an interval of increase/ decrease of (-Infiniity , 2) Function is decreasing , (2, +infinity) function increasing, however the book is saying that the X is increasing for all. What am I doing wrong?