Determine the derivative of f(x)=x3ln(x)f(x) = x^3 \ln(x)f(x)=x3ln(x) for x>0x > 0x>0.
3x2ln(x)3x^2 \ln(x)3x2ln(x)
x2ln(x)+3x^2 \ln(x) + 3x2ln(x)+3
3x2ln(x)+x23x^2 \ln(x) + x^23x2ln(x)+x2
3x2ln(x)+x33x^2 \ln(x) + x^33x2ln(x)+x3