设f(x)=(ax+b)sinx+(cx+d)cosx,试确定常数a,b,c,d,使得f′(x)=xcosx.
人气:300 ℃ 时间:2020-05-08 15:11:08
解答
由已知f′(x)=[(ax+b)sinx+(cx+d)cosx]′=[(ax+b)sinx]′+[(cx+d)cosx]′=(ax+b)′sinx+(ax+b)(sinx)′+(cx+d)′cosx+(cx+d)•(cosx)′=asinx+(ax+b)cosx+ccosx-(cx+d)sinx=(a-cx-d)sin...
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