differential techniques

Differential techniques are methods used to analyze how a function or system changes by comparing small differences in input and output. Think of it as measuring how a car's speed varies as you press the gas pedal slightly more or less. These techniques help us understand rates of change, slopes, and how systems respond to small variations, which is essential in fields like engineering, physics, and economics. They allow us to model, predict, and optimize behaviors by focusing on the incremental differences rather than just the overall state.