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
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