First let us see what information does Quran provides on this subject.
6:109 And they swore by God using their strongest oaths; that if a sign came to them they would believe in it. Say: “The signs are from God; and how do you know that once it comes, that they will not disbelieve?”
17:59 And what stopped Us from sending the signs except that the previous people disbelieved in them. And We sent to Thamud the camel with foresight, but they did her wrong. And We do not send the signs except to make them fearful.
13:7 And those who reject say: “If only a sign was sent down to him from his Lord.” You are but a warner, and to every people is a guide.
3:183 Those who said: “God has pledged to us that we should not believe in a messenger unless he brings us an offering which the fire will devour.” Say: “Messengers have come to you before me with clarity and with what you have said, so why did you kill them if you were truthful?”
30:58 And We have put forth for the people in this Qur’an of every example. And if you come to them with a sign, those who rejected will say: “You are bringing falsehood!”
20:133 And they said: “If only he would bring us a sign from his Lord!” Did not proof come to them from what is in the previous scripts?
6:124 And if a sign comes to them they say: “We will not believe until we are given the same as what the messengers of God were given!” God is fully aware of where He makes His message; those criminals will have debasement with God and a painful retribution for what they had schemed.
6:35 And if their aversion has become too much for you, then perhaps you could make a tunnel in the earth, or a ladder to the heavens, and bring them a sign. Had God willed, He would have gathered them to the guidance; so do not be of the ignorant ones.
Noting in the above verses of the Quran which says that any miracle / unusual sign was given to Prophet Muhammad. Also nowhere in the Quran it is mentions about any miraculous incidence, which he performed in public to make his people believe.
NOW WHAT INFORMATION HADITHS GIVE ON THIS SUBJECT:
Muslim Book 30, Number 5656:
Anas reported that Allah’s Apostle (may peace be upon him) called for water and he was given a vessel and the people began to perform ablution in that and I counted (the persons) and they were between fifty and eighty and I saw water which was spouting from his fingers.
Muslim Book 30, Number 5658:
Anas b. Malik reported that Allah’s Apostle (may peace be upon him) and his Companions were at a place known as az−Zaura’ (az−Zaurd’ is a place in the bazar of Medina near the mosque) that he called for a vessel containing water. He put his hand in that. And there began to spout (water) between his fingers and all the Companions performed ablution. Qatada, one of the narrators in the chain of narrators, said: Abu Hamza (the kunya of Hadrat Anas b. Malik), how many people were they? He said: They were about three hundred.
BUKHARI ,Volume 1, Book 4 , Hadith number 170:
Narrated Anas bin Malik: saw Allah’s Apostle when the `Asr prayer was due and the people searched for water to perform ablution but they could not find it. Later on (a pot full of) water for ablution was brought to Allah’s Apostle . He put his hand in that pot and ordered the people to perform ablution from it. I saw the water springing out from underneath his fingers till all of them performed the ablution (it was one of the miracles of the Prophet).
BUKHARI , Volume 1 Book 8 , hadith number .454:
Narrated Anas bin Malik: Two of the companions of the Prophet departed from him on a dark night and were led by two lights like lamps (going in front of them from Allah as a miracle) lighting the way in front of them, and when they parted, each of them was accompanied by one of these lights till he reached their (respective) houses.
BUKHARI Volume4 , Book 56 , Hadith number 831:
Narrated Anas: That the Meccan people requested Allah’s Apostle to show them a miracle, and so he showed them the splitting of the moon.
Bukhari Volume 6.Book 60 , Hadith number 387:
Narrated Ibn Masud: During the lifetime of Allah’s Apostle the moon was split into two parts; one part remained over the mountain, and the other part went beyond the mountain. On that, Allah’s Apostle said, “Witness this miracle.”
Bukhari Volume 8. Book 73 , Hadith number 115:
Narrated Anas: A man came to the Prophet on a Friday while he (the Prophet) was delivering a sermon at Medina, and said, “There is lack of rain, so please invoke your Lord to bless us with the rain.” The Prophet looked at the sky when no cloud could be detected. Then he invoked Allah for rain. Clouds started gathering together and it rained till the Medina valleys started flowing with water. It continued raining till the next Friday. Then that man (or some other man) stood up while the Prophet was delivering the Friday sermon, and said, “We are drowned; Please invoke your Lord to withhold it (rain) from us” The Prophet smiled and said twice or thrice, “O Allah! Please let it rain round about us and not upon us.” The clouds started dispersing over Medina to the right and to the left, and it rained round about Medina and not upon Medina. Allah showed them (the people) the miracle of His Prophet and His response to his invocation.
It is clear from above hadiths that Prophet Muhammad performed miracles publicly.
Sahih Muslim and Sahih Bukhari are most trusted books of hadith among Orthodox Muslims. These are some of the examples of Hadiths, which teaches that Muhammad performed miracles. There are many more hadith which are not mentioned here.
45:6 “These are the verses of God that We recite to you with truth. Then in what ‘Hadith’ (statement / narrative) after God and His ‘Ayat’ (verses) will they believe?”
68:36-38 What is wrong with you, how do you judge? Or do you have another book which you study?, In it, you can find what you wish?
17:36 “And do not follow that of which you have no knowledge. Indeed! The hearing and the sight and the heart – of each of these you will be questioned”
The only Miracle, which was given to Prophet Mohammad, was the Quran. Indeed Allah’s Best Hadith the Quran that exposes the fake man made Hadiths. Alhumdulilah