Tuchel’s unbeaten run in charge of Chelsea remains with a 2-1 win over Sheffield United. Mount put the visitors ahead just before half-time when he picked out the bottom corner.
Sheffield United got back into it though after a mix-up between Rudiger and Mendy meant the defender net an own goal.
Jorginho put his side upfront again from the spot after Ramsdale fouled Werner and Sharp had a chance to score a late equaliser, but his outlay kick was saved by Mendy.
Chelsea is now unbeaten in their last four matches and moves up to fifth in the table, just one point behind Liverpool. Their interest turns to the FA Cup and their meeting with Barnsley.
Sheffield United stay bottom of the table, ending their short winning run, but Wilder will be expecting they can bounce back soon when they host Bristol City in the FA Cup fifth round.
There were times when the challenge seemed too much for him. Werner looked no physical match for Max Lowe and Kean Bryan when they stood in his way.
But his speed of thought was evident early in the game when he ran onto a ball Kovacic had hooked over the top for him and pushed it over the oncoming David Ramsdale. It took an excellent comeback run from Chris Basham to hook the ball clear.
Basham was booked for the challenge he made to thwart Werner bursting past him and it made little sense that the German shifted to the right flank, where he made little progress.
It was back down the left, late in the first half, where he provided more evidence that the collection with Kovacic, Chelsea’s decent player by a distance might yield a dividend in the weeks ahead.
After an exchange of passes with Kovacic, Werner accelerated in the left channel to take a ball that Ben Chilwell arced into space for him and, instinctively sensing Mason Mount’s presence to his right, weighted a pass which the Englishman drove home to send Chelsea ahead.
Chelsea’s defence looks the weak part of this building.
It left Tuchel shaking his head several times in the first half, no least when Basham was free to take down a sloping ball in the area and shape to shoot. He was pulled to the ground and would have won a penalty had he not been offside.
It was a moment of comedy defending which allowed Wilder’s side back into the game early in the second half when Ol McBurnie was enabled to run through 15 yards to the Chelsea box and try to play on colleague Oli Burke.
Antonio Rudiger, trying to tidy, slipped the ball past his goalkeeper.
But of more concern to Tuchel would be the sight of John Fleck, running through four Chelsea players to reach Mendy.
It was to Chelsea’s advantage that the home side matched their defensive inability when Bryan’s week back-pass, minutes after the equaliser, allowed Werner to race in.
Ramsdale would have resisted with bringing the German down, were it not for an intervention to save a fraction of VAR’s rubbed credibility this weekend. The penalty was awarded and Jorginho jinked it in right-footed.
‘Every manager is different,’ Werner revealed in the aftermath. ‘He provides us a lot of ideas and now I play on the left and can play behind the striker or a 10 behind me, that is very good for me and the last wins were also a good move from the manager.’