【f00}】...f(x) = xx; x > 0.(a) Find f0(x) and f00(x).(b)...

发布时间:2021-03-25 11:53:52

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.Therefore f is decreasing on(0;>一道大一的微积分

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【答案】 (1)f'(x)=2x.f(x)=2
  (2)f(x)=2为常数,不存在f(b)=0
  (3)f(x) = xx=0,x=0.a=0
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