作者victor7935 (victor)
看板trans_math
标题[微分]2题mean-value
时间Mon Nov 3 10:32:20 2008
1.
A number c is called a fixed point of f if f(c)=c.
Prove that if f is differentiable on an interval I and f'(x)< 1
for all x属於I,then f has at most one fixed point in I.
2.
Show that the equation x^n+ax+b = 0,
n an even positive intefer, has at most two distinct real roots.
谢谢︿︿
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1F：推 zptdaniel:两题应该都可以由反证法得证 123.194.99.216 11/03 15:25