Дифференцирование как первый принцип

300+ in JAMB Mathematics EP 14 PART A – Differentiation | First Principle Welcome to EP 14 PART A of the 300+ in JAMB Mathematics Series by O3SCHOOLS. In this lesson, we begin Differentiation by focusing on the First Principle of Differentiation. You will learn what differentiation means, understand the idea behind the derivative and use the first principle to find the derivative of functions step by step. In This Lesson, You Will Learn: • Meaning of differentiation • Meaning of derivative • What the First Principle of Differentiation means • Understanding the change in x and change in y • The relationship between differentiation and gradient • The First Principle formula • How to substitute a function into the formula • Expanding algebraic expressions correctly • Simplifying expressions involving h • Finding derivatives from first principles • Differentiating simple polynomial functions using first principles • Step-by-step worked examples • JAMB-style differentiation questions • Common mistakes to avoid JAMB Mathematics Tip When using the First Principle, take the solution step by step. Start with the given function, find the new function after replacing x with x + h, subtract the original function, simplify and then evaluate the limit as h approaches zero. Do not cancel or simplify too quickly. Careful algebra is one of the most important parts of solving differentiation questions using first principles. Why You Should Watch The First Principle gives you the foundation for understanding derivatives and differentiation. This lesson is useful for students preparing for: • JAMB Mathematics • WAEC Mathematics • NECO Mathematics • Post-UTME Mathematics • Mathematics entrance examinations Follow each worked example carefully and practise the method yourself. Once you understand the First Principle, other differentiation techniques become easier to follow. 300+ in JAMB Mathematics Series EP 1 – Number Bases EP 2 – Fractions EP 3 – Approximations EP 4 – Percentage Error EP 5 – Ratios and Proportions EP 6 – Profit, Loss and Discount EP 7 – Simple & Compound Interest EP 8 – Indices EP 9 – Standard Form EP 10 – Logarithms EP 11 – Surds EP 12 – Partial Fractions EP 13 – Matrices EP 14 PART A – Differentiation: First Principle Watch the full lesson, work through the examples and practise the questions before checking the solutions. Practise More With O3SCHOOLS JAMB & WAEC Apps O3SCHOOLS JAMB APP – Android https://play.google.com/store/apps/de... O3SCHOOLS JAMB APP – PC/Desktop/Laptop https://o3schools.com/jambapp O3SCHOOLS JAMB APP – iPhone/iPad https://apps.apple.com/ng/app/o3schoo... O3SCHOOLS WAEC APP – Android https://play.google.com/store/apps/de... O3SCHOOLS WAEC APP – PC/Desktop/Laptop https://o3schools.com/waecapp O3SCHOOLS WAEC APP – iPhone/iPad https://apps.apple.com/pk/app/o3schoo... Use the O3SCHOOLS apps to practise Mathematics questions, revise important topics and improve your CBT preparation. Search Keywords JAMB Mathematics Differentiation, JAMB Differentiation, Differentiation First Principle, First Principle of Differentiation, Differentiation from First Principles, Derivative First Principle, First Principle Derivatives, How to Differentiate From First Principles, JAMB Maths Differentiation, JAMB Mathematics Tutorial, Differentiation Questions, JAMB Differentiation Questions, Derivatives JAMB, Differentiation Tutorial, JAMB Maths Questions, WAEC Differentiation, NECO Differentiation, JAMB CBT Mathematics. #JAMB #JAMBMathematics #JAMBMaths #Differentiation #FirstPrinciple #FirstPrincipleOfDifferentiation #Derivatives #DifferentiationQuestions #JAMBQuestions #JAMBPreparation #JAMBPrep #Mathematics #MathsTutorial #CBTPractice #PostUTME #WAEC #NECO #O3Schools #JAMBTutorial