Leibniz's Notation

Leibniz's notation uses symbols like \( \frac{dy}{dx} \) to represent derivatives, which measure how a function \( y \) changes with respect to \( x \). The notation treats the derivative as a ratio of two infinitesimally small quantities, "dy" and "dx," allowing for easier manipulation and understanding of rates of change. It simplifies calculus operations, such as differentiation and integration, and provides a clear, consistent way to express how one quantity varies relative to another. This notation is widely used because of its elegance and practical utility in analyzing change.