Article’s

This study explores the concept of derivatives and their diverseapplications in various fields. Derivatives, which measure the rate of changeofa function, are a fundamental tool in calculus. The study examinesthemathematical foundations of derivatives and their applications in optimizationproblems, physics, engineering, economics, and computer science. Theresearch highlights the significance of derivatives in modelling real-worldphenomena, predicting behaviour, and making informed decisions. It alsodiscusses the limitations and challenges associated with derivative-basedmodels. The study aims to provide a comprehensive understandingofderivatives and their applications, making it a valuable resource for students, researchers, and professionals across various disciplines.