MATLAB Symbolic Computation Examples

This document explores methods for identifying function extrema, asymptotes, and inflection points using MATLAB's symbolic computation capabilities. We begin by detailing the mathematical definitions, properties, and formulas underlying these concepts. The core implementation involves MATLAB's symbolic toolbox functions: diff() for derivative calculations to locate critical points, limit() for asymptotic behavior analysis, and second derivative tests using diff(f,2) to determine inflection points. Each code segment will be accompanied by line-by-line explanations covering algorithm logic—such as solving equations with solve() and evaluating sign changes—and key functions like subs() for numerical verification. Practical examples demonstrate applications in curve analysis and optimization problems, bridging theoretical concepts with computational techniques. This resource aims to strengthen proficiency in both mathematical theory and MATLAB programming for academic and professional applications.