设f(x,y)=e-xsin(2x+y),则

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问题 设f(x,y)=e-xsin(2x+y),则

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答案一e-x[2sin(2x+y)+cos(2x+y)]

解析 [一e-x.sin(2x+y)+2e-x.cos(2x+y)]=一e-x.cos(2x+y)一2e-x.sin(2x+y)=一e-x[cos(2x+y)+2sin(2x+y)].
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