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**derivative of e^x^x^2??**

can someone explain to me how this could be solved?

so far i have:

f(x)=e^x^x^2

lnf(x)= x^2lne^x)

(e and ln cancel?)

f'(x)/f(x)= (x^2)x

f'(x)= f(x) x^3

= (e^x^x^2)(x^3)??

is that right? or do i need to use the power rule or something?