Maximum and minimum values of a function in a closed interval can be determined using a simple working rule. Learn how to find the maximum and minimum values of a function in a closed interval, here at BYJU’S.
Types of Maximum Function There are two types of maxima functions that exist Local maxima Absolute maxima Local Maxima The local maxima of a function arise at a particular level. Local maxima are the value of a function at a point in a certain interval for which the value of the functi...
Find the maximum and minimum values of the function on the given interval. f(x)=x+4x^(-2) on [1,4] 相关知识点: 试题来源: 解析 Maximum value is 5 occurring at point (1,5). Minimum value is 3 occurring at point (2,3).反馈 收藏 ...
The function h(x)=3x-2 is defined on the interval [0,5]. What is the maximum value of h(x) in this interval? A. 13 B. 15 C. 17 D. 19 相关知识点: 试题来源: 解析 A。当 x=5 时,h(x)=3×5 - 2 = 15 - 2 = 13。
Find the maximum and minimum values of the function {eq}f(x) = \frac{\ln x}{x} {/eq} on the interval {eq}[1,3] {/eq}.Maximum and Minimum Values:We have a function which has a logarithmic function in the numerator and a linear function in the denomi...
Local extrema of a function: f(x) f′(x0)=0 Second derivative criteria to classify the extreme points of a function: f′(x0)=0 f″(x0)<0(f″(x0)>0) x=0 To know the maximum and minimum values of a function on the intervala≤x≤bwe first find and classify th...
Let f(x) be a continuous function on the interval [a,b]. Here are the steps to find the absolute maximum and minimum values of the function f(x) on [a,b]: Step 1: Find all the critical points of f(x) on (a,b) Step 2: Evaluate f(x...
2. An upper limit permitted by law or other authority. 3. Astronomy a. The moment when a variable star is most brilliant. b. The magnitude of the star at such a moment. 4. Mathematics a. The greatest value assumed by a function over a given interval. b. The largest number in a...
The absolute maximum and minimum of the function are the possible greatest and lowest values of the function over an interval. To find the absolute maximum or minimum value, we first find the solutions (critical points) of the first derivative equated to zero. ...
1.A maximum or minimum value of a function.极大值,极小值函数的最大值或最小值 2.The minimum value you entered is greater than the maximum value. Reenter a value that is less than or equal to the maximum value.所输入的最小值大于最大值,请重新输入一个不大于最大值的值。 3.Enter a ma...