The second derivative of the tanh(x) function
Calculates the 2nd derivative tanh''(x) of the hyperbolic tangent function tanh(x).
The tanh(x) function is used in neural network activation functions, among other applications.
| \( \normalsize Tangent\ hyperbolic\ function\ \tanh(x)\\ f(x) = \large \tanh(x) = \large \frac {e^{x}-e^{-x}}{e^{x}+e^{-x}}\\ \normalsize f'(x) = 1 - f(x)^{2} \\ \normalsize f''(x) = - 2 f(x) \left\{ 1 - f(x)^{2} \right\} \\\) |
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