Tanh with derivative: tanh(x), tanh'(x) = 1 - tanh²(x) · @brief Tanh with derivative: tanh(x), tanh'(x)

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This relation defines @brief Tanh with derivative: tanh(x), tanh'(x) in the source section “Tanh with derivative: tanh(x), tanh'(x) = 1 - tanh²(x) · @brief Tanh with derivative: tanh(x), tanh'(x)”. It specifies the displayed relationship between the named quantities or parameters. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

1. Read @brief Tanh with derivative: tanh(x), tanh'(x) as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

• This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.

Original context

    }
    static double backward(double y) {
        return y * (1.0 - y);
    }
};

/**
 * @brief Tanh with derivative: tanh(x), tanh'(x) = 1 - tanh²(x)
 */
struct Tanh {
    static double forward(double x) {
        if (x > 20.0) return 1.0;
        if (x < -20.0) return -1.0;
        return std::tanh(x);
    }
    static double backward(double y) {
        return 1.0 - y * y;
    }

@brief Tanh with derivative: tanh(x), tanh'(x) = 1 - tanh²(x)

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