30.Introduction to Partial Differentiation & Applications | Multivariable Calculus | M1 | Unit IV

Unit IV – Multivariable Calculus (Partial Differentiation and Applications) of Engineering Mathematics – M1 (JNTUH R22 syllabus) 🎓 In this video, we introduce the concept of Partial Differentiation, its definition, working rules, and real-time applications in engineering. This topic plays a major role in understanding how functions change with respect to multiple variables. 📌 In this video, you will learn: ✅ Concept of Partial Derivatives ✅ Step-by-step working rule for differentiation with two or more variables ✅ Euler’s Theorem on homogeneous functions ✅ Total Derivative and Jacobian introduction ✅ Real-life applications of partial differentiation in engineering problems ✅ Important points for exam preparation 💡 Why this topic is important: Partial differentiation is widely used in machine learning, optimization, physics, and thermodynamics. It forms the foundation for advanced topics like maxima, minima, and Lagrange’s multipliers in multivariable calculus. This video is part of our M1 Complete Course, where you get: 📖 Full syllabus coverage through video lectures 📝 Notes + Important Questions for exams 🎥 Online sessions for doubt clarification 💬 Chat box support for student queries 📱 Complete course access through our mobile application