Curve Sketching with a Radical Function: y = x-3x^(1/3) - Step by Step Process

Learn to master curve sketching through a detailed 23-minute mathematical video lecture that walks through a step-by-step process of analyzing and graphing the radical function y = x-3x^(1/3). Follow along with clear explanations of calculus concepts as the instructor demonstrates techniques for finding critical points, determining intervals of increase and decrease, identifying concavity, and plotting the complete curve. Build upon fundamental curve sketching knowledge while focusing specifically on the unique characteristics and challenges presented by radical functions in calculus.