AP Calculus Net Change and Rate Problems with Graphing Calculator Examples

Master AP Calculus net change and rate of change problems with this detailed walkthrough of multiple FRQ-style questions. In this lesson, you will learn how to recognize when to integrate versus differentiate based on units, set up and solve definite integrals for total change, and apply the Fundamental Theorem of Calculus in real-world modeling situations. We cover traffic flow, water tank problems, mosquito population modeling, and heating oil volume changes, all with step-by-step graphing calculator instructions. What you will learn in this lesson: Understand the difference between a quantity and its rate of change Decide whether to integrate or differentiate based on units Set up integrals to find total change in a given quantity Use the graphing calculator to store functions, evaluate integrals, and compute derivatives Analyze increasing vs decreasing behavior from the derivative Determine when a function is increasing at an increasing or decreasing rate Write accumulation functions for quantities over time Find maximum or minimum values on a closed interval by checking endpoints and critical points Apply concepts to AP-style problems involving traffic flow, population modeling, tank inflow and outflow, and more By the end of this lesson, you will have the tools to confidently set up, solve, and justify your answers for AP Calculus FRQ problems involving net change and rates, using both analytical reasoning and calculator techniques. For more video lessons and additional resources, visit www.xomath.com.