UC知道微积分concave up and down
来源：百度知道 编辑：UC知道 时间：2024/06/14 07:08:56
f(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 f?
(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 f?
y = f(x) = x²/(x²+3)
On what interval(s) is f concave upward? Answer: [-0.5,0.5]
On what interval(s) is f concave downward? Answer: (-∞,-0.5] and [0.5, ∞)
What are the x-coordinate(s) of the inflection point(s) of f?
Answer: f(x) is an even function. Therefore f(x)=-f(x) for all x.
Please see the proof from the figure later on.
