How to Solve Partial Differentiation Problems (VTU Exam Q2b)

📘 VTU 1st Semester B.E./B.Tech. – Calculus and Linear Algebra 🔥 Q2(b) – Partial Differentiation | VTU Dec. 2025 / Jan. 2026 QUESTION: If u = f(x/y, y/z, z/x), then prove that x(∂u/∂x) + y(∂u/∂y) + z(∂u/∂z) = 0. In this video, we solve the above VTU exam question step-by-step using partial differentiation and the chain rule. The proof is explained in a simple, clear and exam-oriented method. 📌 Subject: Calculus and Linear Algebra 📌 Module: 1 📌 Question: Q2(b) 📌 Marks: 7 📌 Exam: Dec. 2025 / Jan. 2026 📌 Course Code: 1BMATS101 📌 Branch: CSE Stream ✅ Topics Covered: • Partial Differentiation • Chain Rule • Functions of Several Variables • Homogeneous Functions • Euler’s Theorem • Proof-Based VTU Question • Step-by-Step Solution 🎯 This video is useful for VTU 1st Semester students preparing for the Calculus and Linear Algebra examination. #VTU #VTUMaths #1BMATS101 #PartialDifferentiation #ChainRule #EulerTheorem #CalculusAndLinearAlgebra #VTUExam #EngineeringMathematics #PartialDerivatives #VTUMathematics #1stSemester #CSE #BTechMaths