A quick homemade mayonnaise made by emulsifying an egg, Dijon mustard, vinegar, lemon juice, oil, salt, and optional sugar using an immersion blender.
In the small bowl of a food processor, add the egg, Dijon, vinegar, lemon juice, salt, and sugar, and process for 15 seconds.
With the food processor running, slowly add the oil, just a small drizzle at a time, until about 1/4 of the oil is added. This step is important for the emulsification process to work properly so the mayo doesn’t break.
Gradually increase the oil stream until the mayonnaise is fully thickened. Taste and adjust the seasoning with lemon juice, salt, and sugar if needed.