模块四 3.1 Maxima and Minima(下) 微积分是高等数学中研究函数的微分、积分以及有关概念和应用的数学分支,它是数学的一个基础学科,是理工科院校一门重要的基础理论课。它推动了其他学科的发展,推动了人类文明与科学技术的发展,它的作用是举足轻重的。微积分(I)是本
微积分是高等数学中研究函数的微分、积分以及有关概念和应用的数学分支,它是数学的一个基础学科,是理工科院校一门重要的基础理论课。它推动了其他学科的发展,推动了人类文明与科学技术的发展,它的作用是举足轻重的。,微积分1(Calculus I),华南理工大学
当当网图书频道在线销售正版《Maxima and Minima Without Calculus不用微积分求最大值和最小值》,作者:Ivan Niven,出版社:。最新《Maxima and Minima Without Calculus不用微积分求最大值和最小值》简介、书评、试读、价格、图片等相关信息,尽在DangDang.com,网购《Ma
1 Determine the local minima and maxima of the functionf:[0,∞)→Rf:[0,∞)→R f(x)=x−−√(x−5)24.f(x)=x(x−5)24. Doesffhave a maximum or minimum? Computing the derivative gets me here: f′(x)=14(2(x−5)x−−√+(x−5)22x√),f′(x)=14(2...
Maxima and minimaThe gamma functionThe error functionThe following functions AREAS, TRAP, and SIMPSON use the function AXISLAB which is given in Chapter 2, and is now repeated: AXISLAB R[1]+((−/ R[2 1])÷ R[3])×0, ≀ R[3] R left-hand end of scale,......
The theory of maxima and minima for functions of several variables follows closely the lines of the theory for functions of one variable described in DC. Thus there are generalizations of the Mean Value Theorem (here abbreviated, as in DC, to MVT) and Taylor's Theorem, and criteria for the...
8.6.2 Methods of Finding Absolute Maxima and Minima(78)8.6.3 Methods of Finding Conditional Extremum(79)Exercises 8.6(82)8.7 Directional Derivatives and The Gradient Vector(83)8.7.1 Vectors and Vector Operations(83)8.7.2 Directional Derivatives and The Gradient Vector(85)8.7.3...
2.Maxima/Minima, Horizontal inflection, Stationary point C INTEGRAL 1.The idea of definite integral We define the unique number between all lower and upper sums as and call it“the definite integral of from a to b”, ., where . We note that as , and We write . If for all x on [...
Problem 2. Examine each function for maxima and minima. a) y = x3 − 3x2 + 2.y' = 3x2 − 6x = 3x(x − 2) = 0 implies x = 0 or x = 2.y''(x) = 6x − 6.y''(0) = −6.The second derivative is negative. That means there is a maximum at x = 0. That ...