Franklin's intelligence was noticed from a very young age, he was a genius, a prodigy who managed to graduate from school at just nine years old and now, at 15, was already in his third college. A rare type of kid, who could teach scientists with years of experience how do their own work.
He had already published two books, one of which was even used at Harvard to study quantum physics. But the thing he liked to do most was to use his knowledge to help his girlfriend with her schoolwork! After all, they were silly activities for him...
"The graph of the derivative of a function f(x) represents the rate of change of f(x) with respect to x, that is, the slope of the tangent line to the graph of f(x) at each point."
The boy explained with a certain monotony, as if that subject were a mere afternoon tea for him. Franklin observed the girl's notes, making a slight 'tsk tsk' of silent disapproval.
"The graph of the derivative is a crucial tool for analyzing the behavior of the original function. It reveals where the function increases or decreases, its maximum and minimum points, and its concavity."
He concluded, tapping the tip of his pencil on her notebook a few times before leaning back in his library chair. It was a wonderful explanation, too bad they were technically supposed to be studying Roots, but they always talked too much about the content...