👉 Rate math, or differential calculus, is a branch of mathematics that studies how quantities change at any given moment. It focuses on rates of change and accumulation, using derivatives to measure instantaneous rates of change (like velocity) or total accumulation (like area under a curve). The core idea is to understand how small changes in one variable affect another, often represented by the relationship \( \frac{dy}{dx} = \frac{\text{rate of change of } y}{\text{rate of change of } x} \). This allows us to solve problems involving optimization, motion, and growth, by finding maximums, minimums, and rates of change in various contexts.
