The real wordsTheory
The definition
DerivativeA financial security with a value that is reliant upon, or derived from, an underlying asset or group of assets.
The professor's own version adds the contractual side: a derivative is a financial contract whose value depends on, or is derived from, an underlying asset. Common underlying assets he names: equity, currency, commodity, interest rate, index. Types: forwards, futures, options, swaps.
The Drive deck adds that derivatives are usually leveraged instruments, which increases both their potential risks and their rewards.