1.Given is the function f(x) =根号下(5x + 4) Calculate the equation of the normal on the graph of f in point A with x-coordinate 9 是让求当x=9时的函数值吗?) 2.其实不是题,而是两个小疑问.turning point和inflection point

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 05:50:04
1.Givenisthefunctionf(x)=根号下(5x+4)CalculatetheequationofthenormalonthegraphoffinpointAwithx-coordina

1.Given is the function f(x) =根号下(5x + 4) Calculate the equation of the normal on the graph of f in point A with x-coordinate 9 是让求当x=9时的函数值吗?) 2.其实不是题,而是两个小疑问.turning point和inflection point
1.Given is the function f(x) =根号下(5x + 4)
Calculate the equation of the normal on the graph of f in point A
with x-coordinate 9
是让求当x=9时的函数值吗?)
2.其实不是题,而是两个小疑问.
turning point和inflection point有什么区别呢?我觉得后一个是拐点,应该是求使二阶导数为零的点吧?turning point是使一阶倒数为零的点吗?
最后一个问题,extremes;maxima(minima)是不是分别为极值和最值?
晕...我也是感觉...有人知道确切的吗?
另:我提问的完整版在这里,可能数量有点多把别人吓跑了
可以多得分不是?

1.Given is the function f(x) =根号下(5x + 4) Calculate the equation of the normal on the graph of f in point A with x-coordinate 9 是让求当x=9时的函数值吗?) 2.其实不是题,而是两个小疑问.turning point和inflection point
1.【题目】
已知函数f(x)=√(5x+4),计算函数f图像上横坐标为9的A点处法线的方程.
2.【答】
turning point:驻点、极值点,函数图像在此点改变增减性.求法:此点处函数一阶导数为零且二阶导数不为零.
inflection point:拐点,函数图像在此点改变凹凸性.求法:此点处函数二阶导数为零且三阶导数不为零.
extremes:极值
maxima(minima):最值