Were Jesus‘ miracles a demonstration of his humanity or deity?
The more I think and study about the two natures of our Lord the more I am convinced that they are somewhat inseparable. I hear folks say, "Jesus did this out of His humanity, and that out of His deity," but I'm not sure that one could or should do this. The incarnation was the merging of our Lord's undiminished deity with perfect humanity, forever.
This is something like a child who is born of his mother and father. We may say that certain looks or actions are "his mother" or "his father," it is still one child, the merging of two parents.
In Luke 4:14 we read that the power of the Holy Spirit came upon Jesus at His baptism, and from that point on we read of His works of power.
In Luke 5:17 we read that "the power of the Lord was present for Jesus to perform healing." This seems to imply that this power was not always present. This may be due to unbelief (Matthew 13:58), or to other factors.
In the Gospel of John our Lord strongly emphasizes that His works are not His works, independently, but the works that the Father does, works that the Father has given Him. He only speaks the things the Father has given Him to speak (John 5:19, 26, 30, 36; 6:44, 57; 8:16, 18, 26; 10:38; 12:49-50; 14:10, 31).
In sum, it is very difficult to separate our Lord's works from that of the Father, or of the Spirit.