the.com/derivative
the slope of a heartbeat, the math that catches motion mid-flight.
means Something derived from or based on another source rather than original; in math, the rate at which a function changes at a given point.
from From Latin 'derivare,' to draw off water — 'de-' (away) plus 'rivus' (a stream or brook). A derivative once meant something channeled off from a larger flow, the way an irrigation ditch is tapped from a river. The mathematical sense, carved out in the calculus of the 17th century, kept that image of drawing one quantity out of another's change. The dismissive sense — 'unoriginal, secondhand' — leans on the same idea: water borrowed from someone else's spring.
- birth feud
- Newton and Leibniz fought bitterly over who invented it
- hidden everywhere
- speedometers compute it in real time
- limit trick
- divides nearly-zero by nearly-zero and survives
- market borrow
- finance stole the name for billion-dollar bets
- layered
- derivatives of derivatives describe acceleration and jerk
black-scholes model — 1973 mathematical formula for pricing options, used trillions of dollars daily in financial markets
interest rate swap — trillions notional value exchanged between banks to manage floating vs fixed rate debt exposure
nasdaq-100 call option — equity index derivative, millions of contracts traded daily on chicago exchanges