Web designing involves not only designing layout of webpage, but also designing the whole production from website content writing to graphics and animation. It demands high skills of creativity, perfection, and uniqueness.
Responsive Web Design is a unique approach aimed at shaping or creating sites to provide the finest viewing experience—effortless reading and navigation with a minimum of panning, resizing as well as scrolling—across a broad range of devices that include mobile phones, laptops as well as desktop computer monitors.
The difference between Designing and Development is that designing is everything that the user sees when they go to a site. The development in general terms is everything that goes on it the backend. Usually having a scripting language and a database.