If g(z) is the sigmoid function, then its derivative with respect to z may be written in term of g(z) as
A) g(z)(1-g(z))
B) g(z)(1+g(z))
C) -g(z)(1+g(z))
D) g(z)(g(z)-1)
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Solution
A) g(z)(1-g(z))
vaishnavinattamai2:
thanks
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The correct answer is option A) g(z).(1-g(z))
The sigmoid function is defined as
g(z) = 1/(1+e^-z)
Its derivative with respect to z is defined as
(dz(x))/(d(x)) = g(z).(1-g(z))
Sigmoid function is also known as sigmoid curve as it is mathematical function having an “S” shaped curve. Often sigmoid function shows a special case of the logistic function and hence sigmoid function is sometimes also called as logistic function.
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