Query: How do I differentiate a function like 2x2-3x from first principles?
Response: Not many examination boards in the UK include this in their Advanced level syllabi. It's an useful technique to learn when encountering calculus for the first time, as it gives a context in which to interpret the differentiation formula for polynomials.
Click on the image graphic on the right to view one method of producing a full solution (opens in new window).
We've also included a video clip of the process below (as an experiment) - just press play and it should autostart within about 15 seconds. Let us know what you think?