Application of derivatives in optimization from "summary" of Differential Calculus by S Balachandra Rao
The application of derivatives in optimization involves using calculus techniques to find the maximum or minimum values of functions. When we want to maximize or minimize a certain quantity, we can use derivatives to help us find the optimal solution. In optimization problems, the first step is to define the function that represents the quantity we want to optimize. This function could represent anything from profit in a business to the area of a triangle. Once we have the function, we can use calculus to find its critical points, which are the points where the derivative is either zero or undefined. By analyzing the behavior of the function around these critical points, we can ...
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