Here are some examples:
* "She looked at him deprecatingly, as if he were a child."
* "He spoke of his own achievements deprecatingly, as though he were embarrassed by them."
* "The critic reviewed the play deprecatingly, highlighting its flaws rather than its strengths."
The word "deprecating" itself means to express disapproval or belittle something. It often carries a connotation of humility, but can also be used sarcastically or insincerely.