作业帮若函数f(x)=sinωx(ω>0)在[0,π/3]单调递增,在[π/2,2π/3]单调递减,ω范围
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![若函数f(x)=sinωx(ω>0)在[0,π/3]单调递增,在[π/2,2π/3]单调递减,ω范围](/uploads/image/z/7018161-33-1.jpg?t=%E8%8B%A5%E5%87%BD%E6%95%B0f%28x%29%3Dsin%CF%89x%28%CF%89%3E0%29%E5%9C%A8%5B0%2C%CF%80%2F3%5D%E5%8D%95%E8%B0%83%E9%80%92%E5%A2%9E%2C%E5%9C%A8%5B%CF%80%2F2%2C2%CF%80%2F3%5D%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%2C%CF%89%E8%8C%83%E5%9B%B4)
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若函数f(x)=sinωx(ω>0)在[0,π/3]单调递增,在[π/2,2π/3]单调递减,ω范围
若函数f(x)=sinωx(ω>0)在[0,π/3]单调递增,在[π/2,2π/3]单调递减,ω范围
若函数f(x)=sinωx(ω>0)在[0,π/3]单调递增,在[π/2,2π/3]单调递减,ω范围
令ωx=u
则f(x)=sinu
显然-π/2≤u≤π/2时f(x)单调递增
而当π/2≤u≤3π/2时f(x)单调递减
当0≤x≤π/3时0≤ωx≤ωπ/3
则有0≤ωx≤ωπ/3≤π/2
即0
让ΩX= U
F（x）的= SINU
显然π/ 2≤U≤π/ 2的时间函数f（x）单调递增
当PI / 2≤U≤π介子/ 2 F（x）是单调递减
当0≤X≤π/ 3 0≤ΩX≤ωπ/ 3
0≤ΩX≤ωπ/ 3≤π/ 2
，0
π/ 2≤ωπ/ 2...
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让ΩX= U
F（x）的= SINU
显然π/ 2≤U≤π/ 2的时间函数f（x）单调递增
当PI / 2≤U≤π介子/ 2 F（x）是单调递减
当0≤X≤π/ 3 0≤ΩX≤ωπ/ 3
0≤ΩX≤ωπ/ 3≤π/ 2
，0
π/ 2≤ωπ/ 2≤ΩX≤2ωπ/ 3≤ 3π/ 2
1≤W≤10/4
全面的符合条件的omega范围1≤ω≤3/2
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