CUET-PG & SET | Function of Two Variables | Complete One Shot Series | By GP Sir

CSIR NET & IIT JAM | Function of Two Variables | Complete One Shot Series | By GP Sir Preparing for CSIR NET or IIT JAM Mathematics? This complete one-shot lecture focuses on Function of Two Variables to help you strengthen your mathematical concepts and prepare effectively for competitive examinations. 🚀 📌 Function of Two Variables 📌 Important Concepts and Definitions 📌 Domain and Range of Functions 📌 Limits and Continuity of Functions 📌 Partial Derivatives 📌 Concept-Based Problem Solving 📌 Exam-Oriented Mathematics Preparation This lecture is designed to help you build a strong foundation in Functions of Two Variables, revise important concepts, and improve your problem-solving approach for CSIR NET and IIT JAM Mathematics. 00:00 Introduction 00:50 Limit of a Function of Two Variables — Concept 02:26 Method: Checking Limits Along Different Paths 03:19 Examples: Limit That Exists vs Limit That Does Not Exist 07:35 Degree Rule Shortcut for Homogeneous Functions 08:29 Non-Homogeneous Case — Choosing the Path y = x⁴ 15:35 Limit Using the Substitution x − y = t (L'Hôpital) 18:05 Continuity of a Function of Two Variables — Concept & Examples 26:40 Continuity Examples: Degree Rule & 1 − cos(x + y) 34:11 Partial Derivatives at a Point — Definition 36:03 Partial Derivative Examples (Existing vs Not Existing) 46:45 Differentiability of a Function of Two Variables 52:45 Differentiability Shortcut Rule (Degree Difference) 54:28 Directional Derivative — Concept & Two Methods 1:00:20 Directional Derivative Examples & MCQs 1:19:41 Maxima and Minima — Extrema, Critical & Saddle Points 1:21:10 Test Procedure: r, s, t and RT − S² 1:24:13 Example: 1:26:10 Example: 1:29:44 Example 1:37:03 Example: 1:45:14 outro 🔥 Focus on concepts, practice consistently, and strengthen your preparation with GP Sir! 👉 Watch the complete one-shot lecture and revise the important concepts in one place. 👍 Like, share, and subscribe for more Mathematics lectures, one-shot series, and competitive exam preparation content. #csirnet #iitjam #functionoftwovariables #multivariablecalculus #partialderivatives #limitsandcontinuity #csirnetmathematics #iitjammathematics #mathematics #oneshotseries #competitiveexams #gpsir #mathscare 👉 Android - https://play.google.com/store/apps/de... 👉 IOS - https://apps.apple.com/in/app/mathsca... 🔹 Telegram Channel - https://telegram.me/mathsbygpsir 🔹WhatsApp Channel - https://whatsapp.com/channel/0029Va52... 📚 Our Book Publications 🔹 Short Notes Booklet for CSIR NET, IIT JAM, GATE, CUET PG, etc Link - https://app.mathscare.com/courses/537077 🔹 Combat Test Series General Aptitude for CSIR NET, GATE & CUET Link - https://app.mathscare.com/courses/537069 🔹 Advanced Combat Test Series for IIT-JAM and CUET Mathematics Link - https://app.mathscare.com/courses/537052 🔹 Combat Test Series CSIR-NET/ JRF Mathematics Link - https://app.mathscare.com/courses/537074 🔹 CSIR NET Combo of 3 at Rs 700 - https://app.mathscare.com/courses/538681 🔹 CSIR NET Combo of 2 at Rs 450 - https://app.mathscare.com/courses/538687 🔹 IIT JAM Combo of 2 at Rs 350 - https://app.mathscare.com/courses/538693 #csirnet2025 #csirnet #gpsir #csirnetjune2025 #iitjam #iitjammathematics 🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹 👤 My Social Media Handles 📌 GP Sir Instagram:   / dr.gajendrapurohit   📌 GP Sir Facebook Page:   / drgpsir   📌 Join GP Sir Telegram Group:- https://telegram.me/mathsbygpsir 📌 Website: https://www.mathscare.com/ 📌App: https://play.google.com/store/apps/de... ✅Our YouTube Channels 📌Dr.Gajendra Purohit - GATE / IIT JAM / CSIR NET - https://bit.ly/3Kccgej 📌Dr.Gajendra Purohit Exam Prep - https://bit.ly/3ZyDBfb 📚 Important Course Playlists ▶️ Link to B.Sc. Maths Playlist: https://bit.ly/3cAg1YI ▶️ Link to Engineering Maths Playlist: https://bit.ly/3thNYUK ▶️ Link to IIT-JAM Maths Playlist: https://bit.ly/3tiBpZl ▶️ Link to GATE (Engg.) Maths Playlist: https://bit.ly/3eEI3VC ▶️ Link to IAS Optional Maths Playlist: https://bit.ly/3vzHl2a ▶️ Link To CSIR NET Maths Playlist: https://bit.ly/3rMHe0U ▶️ Link to Short Tricks for IIT JAM, CSIR NET & GATE Playlist - https://bit.ly/3LVfgge ▶️ Link to General Aptitude Playlist - https://bit.ly/42KAQKa ▶️ Link to IIT JAM, GATE, CSIR NET, NBHM, SET PYQ Series - https://bit.ly/3lHBNSX ▶️ Link to Conceptual Question Series - https://bit.ly/3JOpbkV ▶️ Link to Motivational Videos & Tips For Students Playlist - https://bit.ly/3tdAGbM 📚 Following Topics Are Also Available ▶️Linear Algebra: https://bit.ly/3qMKgB0 ▶️Abstract Algebra Lectures: https://bit.ly/3rOh0uS ▶️Real Analysis: https://bit.ly/3tetewY ▶️Complex Analysis: https://bit.ly/3vnBk8D ▶️Differential Equation: https://bit.ly/38FnAMH ▶️Partial Differentiation: https://bit.ly/3tkNaOV Thanks For Watching My Video 🙏🏻 Like, Share & Subscribe 💯 Dr.Gajendra Purohit