tanh(x) function (graph)
Calculate and graph the tables for the tanh(x) function (hyperbolic tangent function) as well as its first and second derivatives.
The tanh(x) function is used in neural networks as an activation function, 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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