y=2sinπ/3-3x的单调递减区间

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y=2sinπ/3-3x的单调递减区间y=2sinπ/3-3x的单调递减区间y=2sinπ/3-3x的单调递减区间y=2sin(π/3-3x)=-2sin(3x-π/3)当3x-π/3∈(2kπ-π/

y=2sinπ/3-3x的单调递减区间
y=2sinπ/3-3x的单调递减区间

y=2sinπ/3-3x的单调递减区间
y = 2sin(π/3-3x) = - 2sin(3x-π/3)
当3x-π/3∈(2kπ-π/2,2kπ+π/2)时- 2sin(3x-π/3)单调减
故单调减区间:∈(2kπ/3-π/18,2kπ/3+5π/18)