问题描述：
一道大一的微积分题目
Consider the function f(x) = xx; x > 0.
(a) Find f0(x) and f00(x).
(b) Solve f0(a) = 0.Is there any b > 0 such that f00(b) =
(c) It is clear that f0(x) < 0 for x < a and f0(x) > 0 for x > a.Therefore f is decreasing on
(0; a) and increasing on (a;1) and so f is not 11.Let g(x) = xx; x > a.Explain why g
is 11.
(d) Find (g1)0(4).
Consider the function f(x) = xx; x > 0.
(a) Find f0(x) and f00(x).
(b) Solve f0(a) = 0.Is there any b > 0 such that f00(b) =
(c) It is clear that f0(x) < 0 for x < a and f0(x) > 0 for x > a.Therefore f is decreasing on
(0; a) and increasing on (a;1) and so f is not 11.Let g(x) = xx; x > a.Explain why g
is 11.
(d) Find (g1)0(4).
问题解答：
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