Find the derivative of f(x)=x2ln(x)f(x) = x^2 \ln(x)f(x)=x2ln(x) using the product rule.
2xln(x)+x2x \ln(x) + x2xln(x)+x
2xln(x)+x22x \ln(x) + x^22xln(x)+x2
2x2x2x
x2ln(x)+2xx^2 \ln(x) + 2xx2ln(x)+2x