Beto’s 56th-minute header, after he had missed the club’s first penalty of the season, put Everton ahead but Kurt Zouma equalised within six minutes and, having found goalkeeper Alphonse Areola in good form, the Toffees conceded twice in stoppage-time to Tomas Soucek and Edson Alvarez.

Problems up front have been an issue all season. Only the bottom two sides Burnley and Sheffield United have scored fewer than Everton’s 29 goals. But there are signs Dyche is starting to lose patience.

“I am looking at the talent we have got and looking at the quality we have got and how we are not scoring more goals is just bizarre,” he said after a 10th game without victory.

“I can talk about the xG, I can talk about the quality, I can talk about everything but I’ve never been naive in football and you have to go and do it.

“I’ve just said to the players we have a responsibility collectively to actively go and take the chances we are creating and that is everyone.

“It is hard to correct it when it is there, right in front of your eyes. What more can we do?

“But the players have a responsibility at this football club as well as the manager and staff and we know it is a joint responsibility.”

Dropping Dominic Calvert-Lewin, without a goal in his past 21 matches, was somewhat justified by only Beto’s second league goal on an afternoon of mixed emotions for the £24 million ($46.5 million) summer signing from Udinese.

But Dyche was pleased with the Portuguese’s reaction, adding: “That was what was pleasing about Beto.

“Missing a penalty is not easy, he missed a good chance in the first half but he kept going and it is great header.

“He fatigued so we had to take him off but it is another good marker from him to say ‘Look, I am ready and I want to take it on’.”

For West Ham boss David Moyes it was two wins in six days to keep his side in seventh place and chasing European qualification.

“I think the result was harsh on Everton but our goalkeeper made four or five outstanding saves,” the former Everton boss said.

“We scored three goals at Everton, they don’t concede too many, we scored four in the week against Brentford, so we’ve done the job.

“We have come through six or seven weeks when very little has gone for us; today I don’t know if it’s the right word in that it went for us but the goalkeeper made saves which he is there to do.

“I’d have to say I’m thrilled with the win, a wee bit of a throwback, but I really enjoyed it.”

Moyes reserved special praise for his goalkeeper, adding: “He probably made the difference, his performance was terrific.

“A lot of goalkeepers get praised for different things – the use of the ball – but most people from the era I come from it is the ones who save it with their hands and stop the ball going in the net most of the time and I thought he did that really well today.”