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
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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y=(x2-x+4)/(x2-2x+5),x属于[3/2,5]的单调递减区间是