a) Differentiate x ln(x). (x>0)

b)Hence, find an antiderivative of $\displaystyle \displaystyle\frac{x}{x^2+2}$

A basic question, but for some reason i keep getting it wrong, for part a am i doing the product rule wrong? cause i keep geting 1/x when the anwser is 1+ln(x)

For part be i forgot how to take the +1 one out to seperate.