[微積] 一題高微

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在練習卷上看到的一題，Hint是f incresing <=> f' >= 0

實在想不出來該怎麼做，還請高手們指點

Let f be continuous on [0,1] , f(0)=0
f'(x) finite for every x in (0,1).
Prove that if f' is an increasing function on (0,1),
then so is the function g defined by the equation g(x)= f(x)/x


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推 bolue       :把g也微分 >= 0  就是increasing
推 Landau      :好像要用均值定理
推 revivalworld:這個會對嗎？ @@"