A lot of mudslinging is going on in the US presidential campaign.

Last night, Donald Trump and Hillary Clinton went head-to-head for their second debate in St Louis.

Mr Trump fended off sexism claims, responding to revelations of his boasts about how he treats women.

While Mrs Clinton said: "He says this is not who he is. I think it is clear to anyone who has heard it, it is exactly who he is."

The debate was held in town-hall style with questions from members of the public.

But what of several claims made by them about each other? US network CNN has been fact-checking some of these.

Obamacare

Mr Trump cited Obamacare as one of the top problems he wants to address if he is elected.

"When I watch the deals being made and watch what's happening with horrible things like Obamacare, where your health insurance and health care are going up by numbers that are astronomical. By 68%, 59% and 71%," he said.

But it was found that while some insurers are raising some of their premiums by that much, that is not the typical increase.

It says insurers have requested a rate hike of 9%, on average, for the benchmark silver plan for 2017.

SOMEWHAT TRUE

Meanhile, Mrs Clinton praised Obamacare, saying: "Right now, we are at 90% health insurance coverage. That's the highest we have ever been".

It has been revealed that the number is actually even more than 90%. The uninsured rate was 8.6% in the first three months of this year, according to the National Health Interview Survey from the Centers for Disease Control and Prevention.

TRUE

Clinton's e-mails

Mr Trump also brought up the issue of Mrs Clinton's e-mails and the use of a personal e-mail during her time as Secretary of State.

"You think it was fine to delete 35,000 e-mails? I don't think so. She said that 33,000 e-mails had to do with her daughter's wedding, number one, and a yoga class."

He added: "For you to say that there was nothing wrong with you deleting 39,000 e-mails, again, you should be ashamed of yourself."

Clinton handed 30,000 e-mails over to the State Department and said she deleted another 32,000 personal messages.

So the number was actually 32,000, not 39,000, 35,000 or 33,000, as Trump charged.

But he is partially right about the description Mrs Clinton gave for the e-mails that were deleted, thousands of which have been found to be work related.

Back in March 2015, she downplayed the e-mail as being "about planning Chelsea's wedding or my mother's funeral arrangements, condolence notes to friends as well as yoga routines, family vacations, the other things you typically find in inboxes."

FALSE on Trump's numbers, but TRUE that Clinton downplayed the e-mails

Special prosecutor for Clinton?

While Mr Trump also suggested if he wins, he is "going to instruct my Attorney-General to get a special prosecutor to look into your situation because there has never been so many lies, so much deception.

"There has never been anything like it, and we are going to have a special prosecutor. I go out and speak and the people of this country are furious."

Can he do this?

Under Title 6 of the Code of Federal Regulations, the Attorney-General does have the authority to appoint a special prosecutor, according to Stephen Vladeck, a law professor with the University of Texas School of Law.

Such action can be taken when the Attorney-General determines that a criminal investigation is warranted and that an investigation by the Department of Justice would present a conflict of interest or "other extraordinary circumstance" and that "under the circumstances it would be in the public interest to appoint and outside special counsel".

So this is TRUE

Taxes

While Mr Trump says Mrs Clinton would be "raising everybody's taxes massively."

She has proposed raising taxes on the highest-earning Americans, but not anyone making less than US$250,000.

Independent analyses of her plan finds her proposed tax hikes would squarely hit the most well off.

The nonpartisan Tax Policy Center found: "Nearly all of the tax increases would fall on the top 1%; the bottom 95% of taxpayers would see little or no change in their taxes."

FALSE

"Radical Islamic terrorism"

In a response to rising Islamophobia in America, Mr Trump suggested that the terrorist attacks in Orlando and San Bernardino, as well as the events of 9/11, were a direct result of "radical Islamic terrorism" and stated Mrs Clinton and US President Barack Obama will not use the phrase.

A breakdown of the events finds:

The attacks on September 11th 2001 were coordinated and carried out by al-Qaeda, an Islamic extremist terror network.

According to law enforcement officials, the San Bernardino shooters may have been self-radicalised, following a warped and extremist version of Islam.

ISIS claimed credit for the San Bernardino shootings, but it has yet to be determined if the shooters and members of ISIS made contact or received instruction.

The Orlando shooter cited himself as an "Islamic soldier" during his talks with police negotiators.

TRUE

But on her apparent refusal to use the phrase "radical Islamic terrorism", Mrs Clinton said in June that she did not object to the phrase when used properly, saying: "From my perspective, it matters what we do more than what we say...And it mattered we got (Osama) bin Laden, not what name we called him.

"I have clearly said we - whether you call it radical jihadism or radical Islamism, I'm happy to say either. I think they mean the same thing."

While Mr Obama said last month: "The truth of the matter is that this is an issue that has been sort of manufactured, because there is no doubt, and I've said repeatedly, that where we see terrorist organisations like al Qaeda or ISIL, they have perverted and distorted and tried to claim the mantle of Islam for an excuse, for basically barbarism and death."

So Clinton does not object to the phrase so the claim here is FALSE. Obama may call the issue a distraction but he refuses to use the term, which makes this TRUE