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DIFFERENTIAL CALCULUS ENGINEERING MATHS | DOMAIN OF A FUNCTION ALL TYPES & TRICKS 🔥 | #M1PAPER

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DIFFERENTIAL CALCULUS ENGINEERING MATHS | DOMAIN OF A FUNCTION ALL TYPES & TRICKS 🔥 | #M1PAPER

295 просмотров · 4 дн. назад
Pathway maths
405 подписчиков
295 просмотров · 4 дн. назад
In this video, we learn Domain of a Function from the basics to advanced problem-solving tricks for Differential Calculus & Engineering Mathematics. 📌 Topics Covered: • Real Numbers – Basic Introduction • Domain & Codomain • How to write Domain and Codomain • What is an Interval? • Open Interval • Closed Interval • Semi-Open / Semi-Closed Interval • Finding Domain of a Given Function • Domain when Denominator ≠ 0 • Domain of Rational Functions • Domain of Square Root Functions • Domain of Nested Square Root Functions • Domain of √f(x) − √g(x) type Functions • Domain of √(2 − √x) type Functions • Domain of Cube Root Functions • Domain of Fractional Powers • Domain when Square Root is in the Denominator • Important Domain Restrictions & Shortcuts • Step-by-Step Domain Finding Methods 🔥 All important types of domain problems are explained clearly with suitable examples. This video is useful for students preparing for Engineering Mathematics, Differential Calculus, Anna University Mathematics and University Exams. 📚 Next Topics: Limits → Continuity → Differentiability → Derivatives 👉 Subscribe to Pathway Maths Aravind for more Engineering Mathematics concepts, tricks and problem-solving videos. 00:00 Introduction 02:41 What is Real Number? 05:04 Set 07:16 How to Find Domain of f(x) 09:27 Domain of 1/x 14:22 Graphical Approach 22:24 What is Interval? 27:32 What is Infinite Set? 30:04 Important Questions 30:27 Domain 1st Shortcut Trick 30:44 Practice Sum – 1st Trick 32:52 What is Polynomial? 34:37 Practice Questions 35:24 Domain 2nd Shortcut Trick 36:05 Example Solving 37:34 Practice Sum – 2nd Trick 43:35 Domain 3rd Trick 47:47 Practice – 3rd Trick 1:04:05 New Domain Method 1:09:15 Domain of ∛f(x) 1:11:47 Domain of 1/√x 1:13:51 Domain of 1/√f(x) 1:19:29 Next Video – Continuity #DomainOfFunction #DifferentialCalculus #EngineeringMaths #EngineeringMathematics #Domain #Calculus #AnnaUniversity #Maths #EngineeringStudents #PathwayMathsAravind #m1paper #ma3151 #engineeringmathspaper1 #engineeringmaths1