Calculus for Deep Learning - Deep Learning Course Wiki

Both represent the same principle, but for our purposes it's easier to explain using the geometric definition. In geometry slope represents the steepness of a line. It answers the question: how much does or change given a specific change in? But what if I asked you, instead of the slope between two points, what is the slope at a single point on the line? In this case there isn't any obvious "rise over run" to calculate.