5-x/x-3/(x+3-16/x+3)化简

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 10:43:09
5-x/x-3/(x+3-16/x+3)化简5-x/x-3/(x+3-16/x+3)化简5-x/x-3/(x+3-16/x+3)化简写错了=[(5-x)/(x-3)]/[(x²-9-16)/

5-x/x-3/(x+3-16/x+3)化简
5-x/x-3/(x+3-16/x+3)化简

5-x/x-3/(x+3-16/x+3)化简
写错了
=[(5-x)/(x-3)]/[(x²-9-16)/(x-3)]
=-(x-5)/(x+5)(x-5)
=-1/(x+5)

sinx在(π/6,π/2)递增,(π/2,2π/3)递减
所以x=π/2,y最大=sinπ/2=1
最小在边界
sinπ/6=1/2,sin2π/3=√3/2
所以1/2≤y≤1