 Differential calculus

Differential calculus is a branch of calculus that focuses on the concept of the derivative, which represents the rate at which a quantity changes. It deals with the study of how functions change, and it provides tools to analyze the behavior of functions through concepts such as slopes of curves, tangent lines, and optimization. Key concepts in differential calculus include: 1. **Derivative**: The derivative of a function at a given point quantifies the instantaneous rate of change of the function with respect to its input variable.