證明函數(shù)f(x)=根號X在（0,正無窮）上是增函數(shù)
證明函數(shù)f(x)=根號X在（0,正無窮）上是增函數(shù)
為什么√x1-√x2 能變?yōu)?br/>(x1-x2)/[√x1+√x2]
為什么√x1-√x2 能變?yōu)?br/>(x1-x2)/[√x1+√x2]
數(shù)學(xué)人氣：729 ℃時(shí)間：2019-09-23 14:57:18
優(yōu)質(zhì)解答
設(shè)x1 x2 屬于（0,正無窮）且 x1>x2 f(x1)-f(x2)=√x1-√x2=(x1-x2)/[√x1+√x2]因?yàn)?x1 x2 屬于（0,正無窮）且 x1>x2所以 x1-x2>0 所以 √x1+√x2>0所以上式>0所以 f(x1)>f(x2)所以函數(shù)f(x)=根號X在（0,正無窮）上是...
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