Let f(w)f(w)be a function of vector ww, i.e.   f(w)=1/(1+e−wTx). Determine the first derivative and matrix of second derivatives of ffwith respect to w ?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
Question

Let f(w)f(w)be a function of vector ww, i.e.

 

f(w)=1/(1+e−wTx).

Determine the first derivative and matrix of second derivatives of ffwith respect to w ?

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