MATLAB - Finding Roots: fzero & simple Newton intuition

Learn how to find the roots (zeros) of nonlinear functions in MATLAB. In this MATLAB Fundamentals tutorial, we explore how to determine the values of a variable that make a function equal to zero. We begin by visualizing a nonlinear function and identifying its roots graphically by observing where the curve intersects the x-axis. Using MATLAB's built-in fzero function, we then demonstrate how numerical root-finding works and how the choice of an initial guess can affect the solution obtained. To build intuition, we briefly discuss the Newton-Raphson method that powers many root-finding algorithms, showing how MATLAB iteratively refines an estimate until it converges to a root. By the end of this video, you'll understand how to visualize nonlinear functions, find their roots using fzero, and interpret the results correctly. ⏱️ What you'll learn: Understanding roots (zeros) of nonlinear functions Visualizing functions and identifying roots graphically Plotting functions with labels, grids, and reference lines Using MATLAB's fzero function to find roots numerically The role of initial guesses in root-finding algorithms Understanding the basics of the Newton-Raphson method Finding roots of different nonlinear functions in MATLAB 👍 Like, subscribe, and follow the series for more MATLAB tutorials! Link to the complete MATLAB Fundamentals playlist:    • MATLAB Fundamentals