Defiant Middlesbrough boss Gareth Southgate insisted he would fight to turn around his side's season after another home defeat left them teetering on the brink of the Barclays Premier League relegation zone.
Tim Cahill's scruffy 50th-minute winner secured a seventh away league win of the season for injury-plagued Everton and heaped more woe upon Boro after last weekend's dismal 3-0 defeat at Fulham.
Southgate insisted: "I only know one way of working in my life and in my seven years here and that is to take on every challenge, and that's the kind of determination we need - there's no easy way out."
He added: "The focus will come on us now and we'll have a lot to deal with over the next few weeks but I've got to make sure that I take that pressure from the players and I'm more than prepared to do that."
Boro had their chances to scrape something from an eminently forgettable encounter, with Gary O'Neil bringing a fine save out of Tim Howard and substitute Adam Johnson seeing a late penalty appeal turned down.
But the visitors, forced once again to start the game without a recognised striker and also missing Leon Osman and Joseph Yobo, were full value for a win that keeps their European dreams on track.
Boss David Moyes could hardly praise his side enough for their willingness to adapt, and their success was hailed by Southgate, who added: "Everton have no fit strikers but they came here with the mentality to fight and dig in.
"That's the mentality we have to develop. How you deal with these setbacks and the difficult times will ultimately determine where you are going to finish in this division."
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