The Hammers have won just one game of the last five, losing the last league match at home against Manchester City.
West Ham's fast breaks had toothless Newcastle reeling all afternoon and livewire Mexico global Hernandez fired them ahead in the 11th minute with a sweeping close-range finish after a fine cross by Robert Snodgrass.
West Ham responded from a 4-0 home loss to Manchester City by winning 3-0 at Newcastle and Pellegrini added: 'I hope we give maximum of our pace and quality to get three points more (against Cardiff)'.
"We need to analyse the goals, have a look again at the mistakes we made, see where we need to improve".
After the game, Benitez acknowledged the threat that Hernandez, Anderson, Marko Arnautovic and Robert Snodgrass posed on the break.
West Ham striker Marko Arnautovic is set to start against Newcastle despite limping off with a hip injury last weekend.
Jack Wilshere is nearly 100 per cent fit but it remains to be seen if Manuel Pellegrini names him in the first eleven.
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The Mexico forward had been hampered by a virus, but Pellegrini said: "He has recovered his shape now and I hope he will continue to score lots of goals for us. Today they did not have one distraction".
Rondon powered a header wide from Ritchie's near-post corner as the pressure on the West Ham goal mounted, but the game should have been effectively over before the hour-mark.
The Hammers boss said: 'There were very few words that I spoke with him at the beginning of the season.
Ayoze Perez headed straight at keeper Lukasz Fabianski from Matt Ritchie's inviting 22nd-minute free-kick as the Magpies responded, but the visitors threatened repeatedly on the break and it took a good block by Javier Manquillo to deny Arnautovic after he had run on to Anderson's through ball and rounded Dubravka.
Meanwhile, West Ham defender Pablo Zabaleta hailed Anderson after the game.
He was risky on the break, finished with the highest passing accuracy of any West Ham player who started the game and was deserving of his late goal.