If f(x)=xln(x)f(x) = x \ln(x)f(x)=xln(x), find f′(x)f'(x)f′(x).
ln(x)+1\ln(x) + 1ln(x)+1
ln(x)+x\ln(x) + xln(x)+x
ln(x)\ln(x)ln(x)
1+1x1 + \frac{1}{x}1+x1