证明f(x)=4x次方+1分之2x次方在(0,1)上是减函数?
证明f(x)=4x次方+1分之2x次方在(0,1)上是减函数?
数学人气：889 ℃时间：2019-09-09 17:22:43
优质解答
f(x)=x²+2/x令0<x1<x2<1f(x1)-f(x2)=x1²+2/x1-x2²-2/x2通分=(x1³x2+2x2-x1x2³-2x1)/(x1x2)x1,x2都是正数,分母大于0分子=(x1³x2-x1x2³)+(2x2-2x1)=x1x2(x1²-x2&...
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