NEWTON-RAPHSON METHOD for finding roots | Numerical Methods | When the Newton-Raphson Method FAILS

How to use the Newton Raphson method to find the roots of a function. I illustrate on a graph how the Newton Raphson method can converge to a root. I also discuss what happens when you choose a starting value of x close to a turning point and why the Newton Raphson formula fails when you choose a starting value of x at a turning point. More on NUMERICAL ANALYSIS: ▶️ Trapezium Rule for Numerical Integration:    • TRAPEZIUM RULE for Numerical Integration |...   ▶️ Change of Sign Method:    • CHANGE OF SIGN METHOD for Locating Roots -...   ▶️ Iteration Method:    • ITERATION METHOD - Cobweb and Staircase Di...   —————————————————————————————————————————————— 🔔 SUBSCRIBE and join the MathsArc community:    / @mathsarc   ——————————————————————————————————————————————— ✅ CONTACT ME: Email: peter@mathsarc.co.uk Instagram: https://www.instagram.com/maths.arc/?... Website: https://www.mathsarc.co.uk/ ——————————————————————————————————————————————— Attribution: Thumbnail Background - Vecteezy.com Newton - https://en.wikipedia.org/wiki/Isaac_N...