设函数y=x^x+ln(arctan5x),求其导数dy / dx、微分dy

y = e^(xlnx) + ln[arctan(5x)]
dy/dx = e^(xlnx)[lnx + 1] + 1/arctan(5x)*[1 + (5x)^2]^(-1)*5
= x^x[lnx + 1] + 5/{arctan(5x)[1 + (5x)^2]}
dy = [x^x[lnx + 1] + 5/{arctan(5x)[1 + (5x)^2]}]dx