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I am trying to take a derivative of (1-F(x/a))(x) (where F(.) is a CDF and a is a parameter), and I an not sure whether the derivative should be :
-(1-F(x/a))f(1/a)
or
-(1-F(x/a))f(x/a).
Also, I am not sure how to interpret the result that at the maximum:
F(x/a)f(x/a)=1.
-(1-F(x/a))f(1/a)
or
-(1-F(x/a))f(x/a).
Also, I am not sure how to interpret the result that at the maximum:
F(x/a)f(x/a)=1.