Posted by Aymeric Laporte should have scored but slipped a shot wide from inside the six-yard box, while Jesus almost added a second when Thiago Silva cleared his effort off the line.
Mendy also made two key saves against the outstanding Jack Grealish.
It was the ideal start to a key week for City and manager Pep Guardiola, who will travel to Paris Saint-Germain in the Champions League this week before facing Liverpool at Anfield the following Sunday.
Aymeric Laporte should have scored but slipped a shot wide from inside the six-yard box, while Jesus almost added a second when Thiago Silva cleared his effort off the line.
Mendy also made two key saves against the outstanding Jack Grealish.
It was the ideal start to a key week for City and manager Pep Guardiola, who will travel to Paris Saint-Germain in the Champions League this week before facing Liverpool at Anfield the following Sunday.
Source: BBC Sport