解析 Relative maximum: (0,1)Point of inflection: (1,2e)结果一 题目 【题目】Find the extrem a and points of inflection (ifany exist) of the function. Use a graphing utility to graph the function and confirm your results.f(x)=(x+1)e^(-x) 答案 【解析】Relative mazimum: (0,1)Pon...
Concavity and Points of Inflection: The concavity of a function describes where the graph of that function opens upward (concave up) and where it opens downward (concave down). A graph is concave down over some interval if its ...
PURPOSE:To prevent fluctuation in the manual detection of inflection points and to improve accuracy in measurement by finding the point of inflection of the image shot by a camera with the aid of a computer carrying the camera connected to its X-Y driving device. CONSTITUTION:A camera 1 of ...
Inflection points and concavity give graphs their smooth sloped shape, like a skateboarding ramp. Learn how to define concavity and concave up/concave down lines as well as how to identify the inflection points of concave lines. Understanding Concavity The ramp on the right has an increasing ...
Inflection points and concavity give graphs their smooth sloped shape, like a skateboarding ramp. Learn how to define concavity and concave up/concave down lines as well as how to identify the inflection points of concave lines. Understanding Concavity The ramp on the right has an increasing ...
Find the points of inflection and discuss the concavity of the graph of the function. {eq}f(x) =\frac{1}{2}x^4+2x^3 {/eq} Convaity. Inflection points: The concavity and the inflection points have a close relationship, around the inflection point...
If the graph of a function is linear on some interval in its domain, its second derivative will be zero, and it is said to have no concavity on that interval. Example 1: Determine the concavity of f(x) = x 3 − 6 x 2 −12 x + 2 and identify any points of inflection of f...
the function f is twice differentiable,and the graph of f has no points of inflection.if f(6)=3,f'(6)=-1/2,and f''(6)=-2,which of the following could be the value of f(7)?a.2 b.2.5 c.2.9 d.3 e.4有没有合理的解释? 相关知识点: 试题来源: 解析...
points: (1) f ' (x) = 0 as a necessary condition, (2) f ' (x) not equal aEuro parts per thousand 0 as a necessary condition, (3) f aEuro(3) (x) = 0 as a sufficient condition, and (4) the location of "a peak point, where the graph bends" as an inflection point. We...
If the graph of the function is linear, then the second derivative is zero. Hence, there is no concavity for a linear graph. How do you find inflection points and concavity? The rate of change of the function's second derivative gives concavity. Change in this concavity will g...