Product designers at Datadog use their own platform's Real User Monitoring (RUM), logs and notebooks to gather quantitative user data for improving the user experience of their products. They shared three examples where this approach was effective: 1) Picking a monospace font by tracking which one users were seeing most frequently, 2) Updating the DraggablePane component based on usage data, and 3) Expanding input syntax for custom time frames using user-entered text strings. The use of Datadog's own tools allowed for efficient collaboration and analysis across teams.