MAT 201 Study Guide - Derivative Test, Related Rates
Document Summary
In this lecture, we"ll explore the various applications of derivatives, including how they can be used to optimize functions. Derivatives are an essential tool in calculus, and by mastering their applications, you"ll be able to solve a wide range of problems and real-world scenarios. Optimization problems and how to solve them using derivatives. Related rates problems and how to solve them using derivatives. Optimization problems: optimization problems involve finding the maximum or minimum value of a function. Local extrema: local extrema are points where a function reaches a maximum or minimum value within a small interval. Critical points: critical points are points where the derivative of a function is equal to zero or undefined. Second derivative test: the second derivative test is used to determine the nature of critical points. Related rates: related rates problems involve finding the rate of change of one quantity in terms of the rate of change of another quantity.
