‘When therefore he heard that he was sick he abode at that time two days in the place where he was.'
On hearing the news of Lazarus' illness, which would take some time to reach Him, Jesus remained where He was for a further two days. We are probably not to see this as a deliberate act to enhance the miracle, but rather as a statement of fact, and an indication that all things, even the terminal illness of a beloved friend, had to take their place as far as His ministry was concerned. He clearly considered that the important business that He had on hand had to take precedence over the personal needs of his friends, although He was, of course, aware of the course things would take..
It was not that He was impervious to their grief. Rather it was that He could not fail to continue to do God's present work because of personal friendship. Indeed it was important that men should realise that God's work must always have precedence (although this must never be taken as an excuse for failing in our personal responsibilities. There was no replacement for Jesus. His presence was essential to the work. With us it may be different).