If f(x)=xlnxf(x) = x^{\ln x}f(x)=xlnx, what is the derivative f′(x)f'(x)f′(x)?
xlnxlnxx^{\ln x} \ln xxlnxlnx
2xlnx−1lnx2 x^{\ln x - 1} \ln x2xlnx−1lnx
xlnx−1x^{\ln x - 1}xlnx−1
xlnxx\frac{x^{\ln x}}{x}xxlnx