Find the maximum of f(x)= x/(x+e)^2

Question

Find the maximum o

Answer 1

The derivative of f(x)) can be worked out to be

 

 f' = 1/(x+e)² - 2 x /(x +e)³  

 

Setting this equal to zero and multiplying by (x +e)²  results in

  1 - 2x /(x+e) =  0.   This equation is easily solved to get x = e