作业帮On what interval is the curve y = x ln(x - 1) concave upward?
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/06 11:26:31
xOPtd%X'?X&#ھ5HMQܜE~8m ?s-}_i ̽m/{^1/TZH֕b 뛤#٭vhD"*P$IɾUow27B ,.oYb k YXl~l T: l(߳ڐL$QUYgsػob; e.%a0~0郱06y[|qRX%)$^f[0츧qH._ Oʒͪq4g$UZBN,'U9L^ᙩхAJa4}̃s9ڰ?Ҹe״S+ qNlwL<zZڗKĕq*aVu@` 0S;
.0x;䈩|FI f VsX1Q{}ӑN]#i!uޯ> }
On what interval is the curve y = x ln(x - 1) concave upward?
On what interval is the curve y = x ln(x - 1) concave upward?
On what interval is the curve y = x ln(x - 1) concave upward?
题目意思是求自变量x的单调递增区间,因为y = x ln(x - 1)函数有意义,x>1,解决函数单调性的通用方法是求导（微分）,一次求导y'=ln(x-1)+1/(x-1),此时判断y'的符号仍然有困难,二次求导
y''=1/(x-1)-1/(x-1)^2=(x-2)/(x-1)^2,此时容易得x>2时y">0,所以y'在x=2时有最小值,带进去y'最小值为0,也就是y'大于等于0,所以函数在自变量有意义（x大于1的前提下）都是单调递增的,因此单调递增区间应该是（1,正无穷）
我猜x>1,这是增函数
在什么区间是曲线y = x ln(x - 1)凹向上?
On what interval is the curve y = x ln(x - 1) concave upward?
微积分concave up and downf(x)=(x^2)/(x^2+3)(c) On what interval(s) is f concave upward?On what interval(s) is f concave downward?What are the x-coordinate(s) of the inflection point(s) of
What is the displacement of Earth after a time interval of 365 1/4 day
What is the displacement of Earth after a time interval of 365 1/4 day 是什么意思?
what is the average(mean) value of 2t-3t+4 over interval -1≤t≤1?
what is the image of the function f:R->R,f|x|+x?use the interval notation
what is going on
what is on?
英语翻译A：the interval is too long,i'm afraid.could you deliver the drillers sooner?B:I must say we can do very little in this matter.but we'd like to hear mor from you on this.then we shall see what can be done.翻译B的这句就好,A的我
what holiday is on december
what is on the quilt
what is on the table
What hell is going on?
What on earth is rap?
What is on it?急
what is going on here
what is happiness on earth?
what is on duty today?