[微分] 習題...
1.
If f'(X)=0 at x=1,x=2,x=3,then f cannot possibly increase on[0,4].
這是對的!!...簡單證明
2.
Show that cosx < 1 - (1/2)x^2 + (1/24)x^4 for all x >0.
3.
Show that the equation P(x)=0 has exactly two real roots,
both positive.
P(x)= x^4 - 8x^3 + 22x^2 - 24x + 4
4.Prove that a polynomial of degree n has at most n-1 local extreme values.
5.Let f be differentiable on an open interval I.Prove that,if f'(x) = 0
for all x in I,then f is constant on I.
感覺.....
這些問題感覺對大家來說都很簡單!?
有時候都不知道該不該問了= = ....
自己好像還想得不夠多....
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