text: # Derivative of e^x^x^2?
  
  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?
  
  $$y=e^{x^{x^2}}$$
  $$lny=x^{x^2}$$
  use the fact that if $$Y=u^v$$
  then $$\frac{1}{Y}\frac{dY}{dx}=\frac{v}{u}\frac{du}{dx}+\frac{dv}{dx}lnu$$
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