22 Dec '15, 6pm
Calculus is not Hard – The Derivative https://t.co/gLkzjamWbx
A few of the commenters in our previous article pointed out that the idea of the limit is an important ingredient to The Calculus. I don’t disagree. In our above example, the process of taking finer and finer time measurements is referred to as a “limiting” process. In a real calculus problem, we would limit this value all the way to zero. My idea is to keep things as simple as possible in these articles, so we will not be covering the limit in detail. But it is important to be aware of it. At this point, all you need to understand is that as we take increasingly finer measurements, we converge on a single number. This is the main thought process behind the derivative.