✨ Best Answer ✨
｛-4sinx(1+cosx)｝'
＝-4｛(sinx)'(1+cosx)+sinx(1+cosx)'｝
＝-4｛cosx(1+cosx)+sinx(-sinx)｝
＝-4｛cos²x+cosx-(1-cos²x)｝（∵sin²x＝1-cos²x)
＝-4(2cos²x＋cosx-1)
＝-4(cosx+1)(2cosx-1)
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