Use logarithmic differentiation to find derivative of y=x^x^2 x > 0. Please show all steps so I can follow the steps. Thank you.!

1 answer

y = x^x^2
lny = x^2 ln x
1/y y' = 2x lnx + x^2/x
= 2x lnx + x

y' = xy(2lnx + 1)
y' = x x^x^2 (2lnx + 1)