def DIPPR_EQ102_derivative_by_T(T, a, b, c, d):
    """T-Derivative of DPPR Equation #102."""
    return a * b * T ** b / (T * (c / T + d / T ** 2 + 1)) + a * T ** b * (
        c / T ** 2 + 2 * d / T ** 3) / (c / T + d / T ** 2 + 1) ** 2
