作业帮y=(x2-x+4)/(x2-2x+5),x属于[3/2,5]的单调递减区间是
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![y=(x2-x+4)/(x2-2x+5),x属于[3/2,5]的单调递减区间是](/uploads/image/z/6910907-59-7.jpg?t=y%3D%28x2-x%2B4%29%2F%28x2-2x%2B5%29%2Cx%E5%B1%9E%E4%BA%8E%5B3%2F2%2C5%5D%E7%9A%84%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4%E6%98%AF)
y=(x2-x+4)/(x2-2x+5),x属于[3/2,5]的单调递减区间是
y=(x2-x+4)/(x2-2x+5),x属于[3/2,5]的单调递减区间是
y=(x2-x+4)/(x2-2x+5),x属于[3/2,5]的单调递减区间是
y＝(x²-x+4)/(x²-2x+5)
→y'＝-(x+1)(x-3)/(x²-2x+5)².
函数递减时,y'<0,
∴-(x+1)(x-3)<0
→x>3或x<-1,而x∈[3/2,5].
∴函数单调递减区间为：(3,5].
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