Question

y=x^ln(x) найти производную

Answer 1

y = x^(lnx) = (e^lnx)^lnx = e^(ln^2x)
y ' = e^(ln^2x) * (ln^2x)' = 2lnx e^(ln^2x) * (lnx)' = 2lnx / x * e^(ln^2x) = 2lnx/x * x^lnx