Heat olive oil and butter in a large pan over medium heat until butter melts. Add carrots and turnips, and sauté, stirring occasionally, about 8 minutes or until golden brown.
Add radishes, asparagus, and tarragon, and sauté 1 to 2 minutes, stirring occasionally. Stir in remaining ingredients. Cover, reduce heat to low, and simmer 2 to 3 minutes or until liquid is thickened slightly and vegetables are tender. Serve immediately.