Q. When Jesus calmed the storm, raised the dead, fed the 5,000 with two fish and a loaf of bread was He using divine power or was He relying on the power of the Father in those instances?
A. When Jesus came to earth it was as a man, and He limited Himself to doing only those things a man can do. His miraculous works came through the power of the Holy Spirit, which, because of Him, is now available to all of us. This is how He could tell the disciples that anyone with faith in Him could do the things He had been doing (John 14:12).
I believe this is also why He said that blasphemy of the Holy Spirit was a sin for which the Pharisees would not be forgiven (Matt.12:32). Remember, they accused Him of driving out demons by the poser of Beelzebub (Satan). Attributing the work of the Holy Spirit to Satan was an act of blasphemy.