求y=3sin(2x+π/3)x∈[-π/6.π/6]的最大值,最小值集对应的x的取值范围

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求y=3sin(2x+π/3)x∈[-π/6.π/6]的最大值,最小值集对应的x的取值范围
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求y=3sin(2x+π/3)x∈[-π/6.π/6]的最大值,最小值集对应的x的取值范围
求y=3sin(2x+π/3)x∈[-π/6.π/6]的最大值,最小值集对应的x的取值范围

求y=3sin(2x+π/3)x∈[-π/6.π/6]的最大值,最小值集对应的x的取值范围
-π/6 ≤ x ≤π/6
-π/3 ≤ 2x ≤π/3
0 ≤2x+π/3 ≤ π/2
0 ≤ 3sin(2x+π/3 )≤3
当x=0时,取得最小值为 0
当x=π/2时,取得最大值为 3