Make derivations over sums I have this kind of sums ( <munderover>

Gael Gardner

Gael Gardner

Answered question

2022-05-22

Make derivations over sums
I have this kind of sums
( i 1 = 0 4 i 2 = 0 4 log ( f ( X , i 1 , i 2 ) ) )  
And we want to derive in respect to
x i
, which is an element of the vector X.
How I should do that? I did basic maths at Highschool, but I do not know how to derive in respect to an element which belongs to a vector, at a function that has sums as well.
Could you help me with that?

Answer & Explanation

glorietka4b

glorietka4b

Beginner2022-05-23Added 14 answers

You can carry the derivation into the sums, then apply the chain rule for the log ( f ( X , i 1 , i 2 ) ) to obtain
x i log ( f ( X , i 1 , i 2 ) ) = x i f ( X , i 1 , i 2 ) f ( X , i 1 , i 2 )

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