Let f(w) be a function of vector W ∈ R^N , i.e. f(w) = (1/(1 + e^(−W^T x) )) Determine the first derivative and matrix of second derivatives of f with respect to W


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Question Number 203898 by necx122 last updated on 01/Feb/24

$L e t f (w) b e a f u n c t i o n o f v e c t o r W \in R^{N},$ $i . e . f (w) = \frac{1}{1 + e^{- W^{T} x}}$ $D e t e r m i n e t h e f i r s t d e r i v a t i v e a n d$ $m a t r i x o f s e c o n d d e r i v a t i v e s o f f w i t h$ $r e s p e c t t o W$
Commented by necx122 last updated on 01/Feb/24
This looks like an AI activation function (sigmoid) but I just don't seem to navigate my way through it properly.
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