WebOct 8, 2024 · A function will have minimum and maximum values. The definition of a minimum value is the lowest y-value the function reaches. A maximum value is the highest y-value the function... Weba. In the accompanying diagram, place the points labeled "Minimum AVC" and "Minimum ATC" in their correct places. Minimum AVC Minimum ATC Marginal cost, average cost ($ …
Explain why the marginal cost curve intersects the average
WebA point on a curve is considered a relative minimum if the function is defined at that point and the function has equal or greater values an infinitesimal distance on both sides of the point. A minimum or a maximum is called an extreme point. A local extreme point is the smallest or largest value in its neighborhood. If it is also the smallest or largest at the entire domain of the function, it is called a global extreme point. The local minima and maxima can be found by solving f'(x) = 0. Then using the plot of … See more Finding the minimum or maximum of a function can be very useful. It often comes up in optimization problems that do not have constraints, or in which the constraints do not prevent the function from reaching its … See more At a local minimum, the function changes direction. This is because it is the lowest point in its neighborhood. Therefore the slope of the function … See more As an example, we will use the function f(x) = 1/3 x3 - 4x. First we calculate the derivative of the function, which is: f'(x) = x2- 4 Then we solve … See more list of churches in singapore
At what value does this integral reach its minimum?
WebThe first plant reaches minimum average cost at _____________ units of output. (Enter a numeric response using an integer.) Show transcribed image text Expert Answer Ans 1) … WebSep 26, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebJul 5, 2013 · If f: R → R is a continuous function on [a, b], then f attains its maximum. Now, I do have a working proof: [a, b] is a connected, compact space, which means that because f is continuous, f([a, b]) is compact and connected as well. Therefore, f([a, b]) is a closed interval, which means it has both a minimum and, as desired, a maximum. images of vintage horse figurines