Engineering Mathematics | Partial Derivatives | First-Order Partial Derivatives with Solutions

ENGINEERING MATHEMATICS | FIRST-ORDER PARTIAL DERIVATIVES | SOLVED PROBLEMS | JNANA SAMRUDDHI INSTITUTE Welcome to Jnana Samruddhi Institute! Are you preparing for Engineering Mathematics examinations? In this video, we solve important problems on First-Order Partial Derivatives with clear, step-by-step explanations. This tutorial helps engineering students understand partial differentiation, apply the correct differentiation rules, and solve mathematical problems confidently. 📘 TOPICS COVERED ✅ Introduction to first-order partial derivatives ✅ Partial differentiation with respect to x and y ✅ Differentiation of polynomial functions ✅ Partial derivatives involving exponential functions ✅ Product rule and chain rule applications ✅ Evaluation of partial derivatives at a given point ✅ Step-by-step solutions to engineering mathematics problems 📝 PROBLEMS SOLVED IN THIS VIDEO QUESTION 1: Find the first-order partial derivatives of f(x,y) = x⁴ − x²y² + y⁴ at the point (−1, 1). Answer: −2, 2 QUESTION 2: Find the first-order partial derivatives of f(x,y) = x²e^(−y/x) at the point (4, 2). Correct Answer: ∂f/∂x = 10e^(−1/2) ∂f/∂y = −4e^(−1/2) 🎯 WHY WATCH THIS VIDEO? • Understand partial differentiation through worked examples. • Learn to differentiate functions involving two variables. • Improve your mathematical problem-solving skills. • Practise important Engineering Mathematics questions. • Prepare effectively for university examinations. • Strengthen your understanding of fundamental mathematical concepts. 🎓 WHO SHOULD WATCH THIS VIDEO? • First-year engineering students • B.E. and B.Tech students • Students learning Engineering Mathematics • Students preparing for VTU and other university examinations • Students revising partial differentiation concepts 🏫 ABOUT JNANA SAMRUDDHI INSTITUTE Jnana Samruddhi Institute is committed to making education accessible to every learner through clear explanations, concept-based teaching, and practice-oriented learning. 📍 Address: Prashanth Nagar, Vijayanagar, Bangalore – 79 📞 Contact: 6362590772 🔔 SUBSCRIBE TO OUR CHANNEL Subscribe to Jnana Samruddhi Institute for more Engineering Mathematics tutorials, solved problems, important university examination questions, and step-by-step explanations. 👍 Like this video if you find it useful. 💬 Comment below with the next Engineering Mathematics topic you would like us to explain. 📢 Share this video with your engineering friends. Learn. Practise. Excel with Jnana Samruddhi Institute! #EngineeringMathematics #PartialDerivatives #PartialDifferentiation #FirstOrderPartialDerivatives #EngineeringMaths #VTU #BTechMathematics #BEMathematics #MathematicsTutorial #JnanaSamruddhiInstitute engineering mathematics, partial derivatives, first order partial derivatives, partial differentiation problems, partial derivatives solved problems, engineering maths tutorial, partial differentiation examples, partial derivatives with solutions, VTU engineering mathematics, BTech mathematics, BE mathematics, engineering mathematics problems, exponential functions partial derivatives, Jnana Samruddhi Institute