Software development process is confused a lot with software life cycle, some authors write like if they were the same, but is much like a cycle inside another cycle, so the correct way to classify them is to say that the development process is a subset of the life-cycle.
I would say that is part of the coding phase of the software life cycle, but I would be wrong because they have steps in common like the design and maintenance phase.
Just like this page says:
This process includes not only the actual writing of code but also the preparation of requirements and objectives, the design of what is to be coded, and confirmation that what is developed has met objectives.
Examples of those process are: Agile software development and waterfall method.
References:
http://www.selectbs.com/analysis-and-design/what-is-a-software-development-process
http://whatis.techtarget.com/reference/Learn-IT-Software-development
http://www.itinfo.am/eng/software-development-methodologies/
