Hearts' caretaker manager Stephen Frail wanted a reaction after Wednesday's 4-0 defeat from Rangers.
And, after an edgy start, the visiting players responded with a polished display, albeit against a mis-firing home team.
Despite enjoying some sustained spells of pressure, Inverness were only able to direct one shot towards goal and even then, Russell Duncan's 13th-minute effort from distance rose well over the crossbar.
Hearts were finding it difficult to create anything in attack, hampered by playing into a strong wind but Nade engineered room for a low drive, which Michael Fraser did well to tip away to safety.
However, the goalkeeper was left floundering at the resulting corner as he missed Driver's delivery, allowing the unopposed Karipidis to head into an empty net from close range.
Elliot drove a searing shot over the bar from 25 yards out shortlybefore he scored his first league goal for Hearts in over two years.
Nade made a surging run which began with a cute nutmeg on Grant Munro.
The powerful striker then flicked the ball past Duncan's attempted sliding tackle and proceeded to knock a cross to Elliot, who steered the ball low into the corner.
Caley Thistle rallied at the close of the first half and Niculae headed over when well placed before hooking Ross Tokely's driven cross wide from another promising position.
Within two minutes of the restart Caley Thistle's hopes of trying to take a point from the game were destroyed, as a blunder from Ian Black gifted Hearts a third goal.
The midfielder's terrible attempted back-pass lacked the required pace and the Elliot intercepted.
Some desperate defending stopped the initial danger, but when the ball broke back to Elliot he calmly clipped a neat effort over the stranded Fraser to score in style.
Fraser later made an acrobatic save to keep out a thumping volley from Ruben Palazuelos and Elliot squandered a good chance for a hat-trick when he headed wide.
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