Selviaprianti1t
22

# find derivative of y = x^(lnx), Show step-by-step solution

y = x^(ln x )        / ln   ( we will logarithm both sides of the equation ) $ln y = ln x^{lnx} \\ ln y = ln x * ln x \\ ln y = ln ^{2} x \\ \frac{1}{y}y= 2 ln x * \frac{1}{x} \\ y= \frac{2lnx}{x}*y \\ y`= \frac{2lnx*x ^{lnx} }{x}$