# Derivative Sigmoid function Calculator

## Calculates the derivative sigmoid function s'a(x).

 The sigmoid function is used in the activation function of the neural network.
 a(gain) x 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Sigmoid\ function\ \varsigma_{\alpha}(x)\\[10]\varsigma_{\alpha}(x) = \large \frac{1}{1+e^{-\alpha x}} = \large \frac {\tanh(\alpha x /2) + 1}{2}\\[15]\normal \varsigma '_{\alpha}(x) = \alpha \varsigma_{\alpha}(x) \{ 1 - \varsigma_{\alpha}(x) \} \\[15]\normal \varsigma ''_{\alpha}(x) = \alpha^{2} \varsigma_{\alpha}(x) \{ 1- \varsigma_{\alpha}(x) \} \{ 1 - 2 \varsigma_{\alpha}(x) \} \\[15]$
Derivative Sigmoid function
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[1]  2018/07/19 00:35   Male / 40 years old level / An office worker / A public employee / Very /
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