Find logb 4.5 given two other logs

[Nawz]

Differentiate: Essentials of Calc Problem

1. Homework Statement

Differentiate: y=x(lnx)^2-2xlnx+2x.


2. Homework Equations



3. The Attempt at a Solution

(x) ((2lnx)/(x)) + (1)(lnx)^2-(2lnx+2(1/x))+2

2xlnx/x+(lnx)^2-(2lnx+2/x)+2

2lnx+(lnx)^2-2lnx-(2/x)+2

(lnx)^2-(2/x)+2


?^ the answer is just (lnx)^2

 

[Raskolnikov]

You differentiated -2xlnx incorrectly. I'm guessing it was a careless error since you applied the product rule correctly on the first term, just not the second.