Find the derivative of each of the following:

1. y = ln  1 + e^x
                 e^x
   
    
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2.  y = e^7x
      
   
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   answer
   
   
3. y = sin²(e^4x-1)
   
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   answer
   
4. f(x) = ln sin (e^{cos 5x})
   
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   answer