Divided Difference: Newton's Interpolation Technique

Solve an important VTU Numerical Methods problem using Newton’s General Interpolation Formula with clear step-by-step calculations and exam shortcuts. Perfect for 1BMATS201, 1BMATE201, 1BMATC201, and 1BMATM201 students. 📌 Question: Fit an interpolating polynomial for the data: u₁₀ = 355, u₀ = −5, u₈ = −21, u₁ = −14, u₄ = −125 by using Newton’s general interpolation formula and hence find u₂. 🎯 In this video: • Arrange data in proper order for interpolation • Construct divided difference table step-by-step • Apply Newton’s general interpolation formula • Evaluate required value (u₂) accurately • Solve efficiently for VTU exams ━━━━━━━━━━━━━━━━━━━━━ 📚 Watch Next: 1️⃣ Next Video (Start Here) https://youtu.be/_EG2qItuOzw 2️⃣ Continue Learning https://youtu.be/lXuN-L_N-L0 3️⃣ More Practice https://youtu.be/fRjsA_AcgTg ━━━━━━━━━━━━━━━━━━━━━ 📘 Complete Module Playlist (Start to Finish): 1BMATS201 Module-3: Interpolation https://www.youtube.com/playlist?list=PLM9RnGtTy9_9KRCs7Z3cK6_NQM9sM6bfS ━━━━━━━━━━━━━━━━━━━━━ 📙 More Practice (Lagrange Interpolation): 1️⃣ https://youtu.be/gm7TL_a2aCg 2️⃣ https://youtu.be/lzNeofjwvIw 3️⃣ https://youtu.be/FQJV-J5p-EA ━━━━━━━━━━━━━━━━━━━━━ 🚀 Next Step: Continue with the next interpolation problem to strengthen your understanding of polynomial methods. 📌 Don’t stop here: Watch the full playlist in order to master interpolation techniques for VTU exams. ━━━━━━━━━━━━━━━━━━━━━ 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6ct0L30LKOlXViVx3Y 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicstutor 💎 Support Us: Join our channel and get access to exclusive perks 👇 https://www.youtube.com/channel/UC_OTtwh8_-q-bA7DoS--syg/join ━━━━━━━━━━━━━━━━━━━━━ 📙 All 1BMATS201 Playlists: M1: https://www.youtube.com/playlist?list=PLM9RnGtTy9_-Ggwfpp1MfXFXDccYlQCcL M2: https://www.youtube.com/playlist?list=PLM9RnGtTy9__Rd_2yU_e97MMeEDm15kZd M3: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9KRCs7Z3cK6_NQM9sM6bfS M4: https://www.youtube.com/playlist?list=PLM9RnGtTy9__bUGakyK0jOEwI5AeE_KmD M5: https://www.youtube.com/playlist?list=PLM9RnGtTy9__dZUePmo6ZM9FlhGm_UVhA ━━━━━━━━━━━━━━━━━━━━━ 📙 All 1BMATE201 Playlists: M1: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9kjtYV0wD2SbATKBrbb8Bl M2: https://www.youtube.com/playlist?list=PLM9RnGtTy9__tzYCTWaHZ6-crGFv0jAhG M3: https://www.youtube.com/playlist?list=PLM9RnGtTy9_-E3vGHBl6iKjvOZOvrvZOv M4: https://www.youtube.com/playlist?list=PLM9RnGtTy9_-v6muu8oOQFH5MNY7PId5S M5: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9tvvefAtfHOHGdFoLsUeBQ ━━━━━━━━━━━━━━━━━━━━━ #NewtonsInterpolation #VTUMaths #NumericalMethods #EngineeringMathematics #Interpolation #1BMATS201 #VTUExam