The teenager was charged with disorderly behaviour, assault on police, resisting police and possessing an offensive weapon.
The teenager appeared at Derry Magistrates’ Court on Tuesday for a first remand hearing..
He was released on his own bail of £250.
The judge ordered the youth to continue to live in his family home, to observe a 11 pm to 7 am curfew and not to enter the Bogside area of the city.
PSNI Chief Inspector Alan Hutton said the two police officers were injured after being hit by bricks.
A woman was injured after she was hit with a missile.
“We are disappointed that some people decided to continue the public disorder in the Bogside last night, despite the clear message from the community earlier,” the senior police officer added.
“I am very proud of how my colleagues stood in the face of danger, working to bring this situation under control.
“But I am saddened and angry that again we find ourselves subject to serious violence from the communities we serve.
“Let me be clear, we made three arrests last night and with a robust criminal justice strategy in place, there will be more.”
Chief Inspector Hutton said there are now a number of police officers who are no longer available to deliver their core policing duties.
“The huge impact on our city cannot be ignored.
“As we strive to promote our positive image, the negative effect of these violent pictures on jobs, tourism and investment cannot be underestimated. We do not want to take a backward step.
“I urge all those with influence to urgently use it to bring a resolution to the violence and work towards a longer term solution for the issues affecting this area.”
The rioting started just a few hours after more than 100 gathered on Monday night to show their support for residents in the Fountain estate.
The crowd walked from the Bogside to the Fountain after 08:00 BST and past the sheltered accommodation which was attacked during disturbances over the weekend.
Contractors also moved in to extend the height of a fence on the city’s walls on Monday night.
Sinn Fein MLA Karen Mullan said she believes dissident republican’s have been orchestrating recent attacks.“Our youth workers had to leave the area late last night for their own safety.
“Things got worse and the crowd has also got older.”
DUP MLA Gary Middleton has been speaking to the woman who was injured on Monday night.
“She’s in her sixties and was hit by a stone,” Mr Middleton told BBC Radio Foyle.
“She went to hospital and thankfully she is ok. She has been left badly shaken though.
“This trouble needs to stop as soon as possible.”
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