FIRST PRINCIPLES OF DIFFERENTIATION

Welcome to this Calculus lesson on Differentiation from First Principles. In this video, we develop differentiation from its foundation by understanding how the gradient of a curve can be determined using limits. Rather than memorizing formulas, this lesson explains the logic behind differentiation step by step using clear handwritten working and detailed explanations. Topics covered in this lesson: ✔ Understanding the gradient of a straight line ✔ Moving from straight lines to curves ✔ The concept of gradient at a single point ✔ Deriving the First Principles formula ✔ Step-by-step substitution and simplification ✔ Worked examples with detailed explanations ✔ Building a strong foundation for Calculus This lesson is designed for: 🎓 Engineering Mathematics students 🎓 Science and technical students 🎓 Diploma students 🎓 Students preparing for examinations 🎓 Anyone learning Calculus from the beginning If this lesson helps you understand Calculus better, please remember to Like, Subscribe, and turn on notifications so you don't miss future mathematics lessons. #Calculus #Differentiation #FirstPrinciples #EngineeringMathematics #MathsForEngineers #STEM #Mathematics #ExamPreparation