New Relic APM's Deployment Tracking feature helps developers quickly identify how code deployments affect their application's performance by providing a visual representation of changes over time, including deployment timestamps, Apdex scores, and throughput metrics. This allows for swift analysis and decision-making to determine whether a deployment has introduced issues or if it's still within acceptable bounds. By integrating Deployment Tracking into the release process, developers can proactively monitor changes and make data-driven decisions to minimize downtime and optimize application performance.