def derivative_polynomial_latitude(lon_norm, lat_norm, alt_norm, coeff):
    """
    Compute latitude derivative polynomial equation

    :param lon_norm: Normalized longitude position
    :type lon_norm: float 64
    :param lat_norm: Normalized latitude position
    :type lat_norm: float 64
    :param alt_norm: Normalized altitude position
    :type alt_norm: float 64
    :param coeff: coefficients
    :type coeff: 1D np.array dtype np.float 64
    :return: rational derivative
    :rtype: float 64
    """
    derivate = (
        coeff[2]
        + coeff[4] * lon_norm
        + coeff[6] * alt_norm
        + 2 * coeff[8] * lat_norm
        + coeff[10] * lon_norm * alt_norm
        + 2 * coeff[12] * lon_norm * lat_norm
        + coeff[14] * lon_norm**2
        + 3 * coeff[15] * lat_norm**2
        + coeff[16] * alt_norm**2
        + 2 * coeff[18] * lat_norm * alt_norm
    )

    return derivate