Wherever, under the provisions of this charter, any powers of action or determination are granted to the city council, the exercise of such powers shall be deemed subject to the limitations herein set forth, unless expressly exempted, but where any right of control management or superintendence is herein given or conferred upon any appointive officer, the same shall be held and construed to be not in derogation of the powers of the council, but only in the execution thereof.