Mateusz Klich opened the scoring for Leeds with a brilliant, curling effort before Tom Lawrence responded with a dipping free kick in an entertaining opening.
"This is my first job as a manager, but I've worked closely with some of the best coaches in the game and I'm confident in my own abilities and those of the team around me, including the board", he told Derby's official website.
Lampard has been active in the transfer window, bringing in nine players including Jack Marriott, Martyn Waghorn, Fikayo Tomori, Mason Mount and Harry Wilson.
Leeds sit second in the table after two games of the campaign, having scored seven goals in back-to-back victories under their new boss - including a 4-1 triumph over Derby County at Pride Park this evening.
England ace Chris Woakes boasts absurdly low Test average at Lord's
Left-arm spinner Kuldeep Yadav was brought in for seamer Umesh Yadav , joining Ashwin in the slow bowling department. In the first over back, Kohli, off strike, refused an easy single called by Pujara.
Leeds are relentless under Bielsa though, rarely allowing opponents time to settle on the ball while they get forward quickly once they have possession.
Only a desperate block in the area from a Luke Ayling shot then denied Leeds a third and the superb Saiz then produced another energetic run from midfield before firing straight at Scott Carson.
The reprieve was only temporary and two goals in four minutes swung the game decisively in the visitors' favour. The 25-year-old striker still had a lot of work to do when he received the ball from Klich in a crowded penalty box. A deft touch and neat turn created the space he needed to fire a left-foot shot past the helpless keeper.
Leeds struck again with devastating speed.
A brace from Kemar Roofe and the final blow from Ezgjan Alioski condemned the Rams to defeat in their first home game of the new season.