Скачать или смотреть Calculus-II, Calculus-2, Chapter-7, ক্যালকুলাস -2, অধ্যায়-7, উদাহরণ -2

Calculus 2, often referred to as integral calculus, builds upon the concepts learned in Calculus 1 (differential calculus). It focuses on techniques and applications of integration, including definite and indefinite integrals, areas between curves, volumes of solids of revolution, arc length, and surface area. Additionally, topics like sequences, series, and convergence tests are typically covered. Calculus 2 delves deeper into the mathematical tools needed for advanced studies in mathematics, science, engineering, and economics.
In Calculus 2, the determination of minimum and maximum values involves several key steps. First, you identify critical points by finding where the derivative of the function is either zero or undefined. These points could potentially be where the function reaches its extreme values. Next, you evaluate the function at these critical points and at the endpoints of the interval you're interested in. By comparing these values, you can determine which one is the absolute minimum or maximum. Additionally, the second derivative test can be used to confirm whether critical points correspond to minimum, maximum, or points of inflection. This process is crucial for analyzing the behavior of functions and identifying extreme values within a given domain.