def softmax_est_crossentropy_deriv(y_est, y):
    """
    Compute the gradient of the multiclass softmax cross-entropy
    with respect to its input variables, given only the output
    of the softmax function

    Parameters
    ----------
    y_est: ndarray(N)
        Output of the softmax function
    y: ndarray(N)
        Target values
    
    Returns
    -------
    ndarray(N):
        Derivative of multiclass softmax cross-entropy
    """
    return y_est - y