Chris Wilder refused to get downbeat following Tuesday's 5-4 loss against Fulham at Bramall Lane.
Speaking having witnessed a nine-goal encounter against the Cottagers, Wilder admitted his side had been beaten by a better team on the night and acknowledged errors had proved costly.
He remarked: "We analyse the game, but we've made mistakes and they've been punished on several occasions.
"Cam makes a mistake for the first, the second he slips, and their boy produces a great finish and the third one is a poor goal for us to concede, especially having got back to 2-2 each.
"For the fourth and fifth, I take responsibility, I wanted us to continue to go for the game and against the likes of Fulham, with their ability at the top of the pitch you are always vulnerable.
"It was one of those nights, we never really controlled the game at any point, against quality opposition, whose three midfielders have dominated the game."
But the Blades boss praised his side for not throwing the towel in, adding: "They are a big club, they've been in the Premier League very recently and spent a few quid in the summer too.
"I don't want us to go out of the back door, there is no hiding place, but we didn't shrink.
"We weren't anywhere near our best, we didn't get to play at our tempo and we kept giving the ball away cheaply and if you do that against good sides you are always like to come off on the wrong end of the result.
"But I always thought we were in the game, at 4-2 when we're on top and the best footballing team in the division are booting it anywhere and clinging on for dear life."