Leave the motorway A4 at Dreieck-West and take the A17 in the direction of Prague. From motorway A17 take the exit Dresden-Südvorstadt and follow the B170 to Dresden. At the sign 'Plauen' turn left into Nöthnitzer Straße.
From Dresden central station (Hauptbahnhof) take tram no. 3 heading for 'Coschütz' and get off at the fourth stop which is 'Plauen-Nöthnitzer Straße'.
From Dresden airport, take the S2 train from the underground terminal and go to the central train station (Dresden Hauptbahnhof). From there take tram no. 3 in the direction 'Coschütz' and get off at the stop 'Nöthnitzer Straße'. A taxi from the airport will take about 30 minutes (fare: approx. 25-30 Euro).
Several bus lines connect the Berlin airport BER and the Dresden central station. Details can be found here.