The result sees the Toffees safe from the drop.
Tarkowski said afterwards: "(The 6-0 defeat by Chelsea) was the toughest moment of the season.
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"It's been amazing. It's been some week. Three wins. Today is the toughest game of the three. The lads turned up again. Incredible.
"The work Idrissa Gueye gets through is incredible."
Goalkeeper Pickford added, "Perfect. A big bounceback from Chelsea.
"Three games to go and enjoy it.
"A lot of pressure the last two years and the deductions this year, the lads dug in massively.
"A perfect week. Three wins, three clean sheets.
"I criticise myself but I made some crucial saves tonight. The Toney one (stands out)."