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Jacobian of f(x)+g(x) is just Jacobian of f(x)+Jacobian of g(x), right?
right‽‽
@niplav huh yeah they don't give you a straight answer
anyway that's correct, just a matrix of partial derivatives which are linear
@TetraspaceGrouping
chatGPT also gives the wrong answer 
This is a genuine question, same for Hessians. Search engines are surprisingly reluctant at telling me whether this is the case