2021年国开电大《高等数学基础》第二次作业答案

经典word整理文档，仅参考，双击此处可删除页眉页脚。本资料属于网络整理，如有侵权，请联系删除，谢谢！2021年国开电大《高等数学基础》第二次作业答案第3章f(x)f(x)f(0)0x0xxx0f(0)f(0)f(x)0f(x2h)f(x)f(x)在x0002hh02f(x)f(x)00f(x)2f(x)00fx)ff(x)ex0xxe2e11ee24设f(x)x(xx2)(x99)f(0)99!99!C若f(x)xx00若f(x)xx00若f(x)xx00若f(x)xx0010x2sin,xf(0)f(x)x0．0,x05df(lnx)2lnxf(ex)e2xxdxx12f(x)x12)在．π在(,1)f(x)xy1．2．yx2xyx2lnx22x1．xyxxyy：⑴y(xxx323y(xee)1xexee3xxxxx2223321=e(xxx22⑵ycotxxlnx2xsinxsinxxxx2y(xlnx)(2xlnx)2sinxsinx2x12xxx=x2x2⑶ylnx2xxxx(2xyx2x2x2x⑷yx3(sinx2ln2)xx2)3xx3x2yx6xsinxln22x3cosx32xx=x4lnxx2sinx⑸y1(2x)sinxcosx(lnxx)2xysinx22x)sinxxxx)22=xsinx2⑹yxsinxlnx4y4xxxx)3xx=4x3xxxsinxx2⑺y3xx2x3lnxx)xx2y32xx2xlnxx2)=3x⑻yetanxlnxxex)1xxy(exx2e(sinxx1x=x2xy：⑴yex1exxyex2x2x⑵ylnxxxxyxxx⑶y11178xxxxy24871x8y8⑷ysinx22xx2xy112y1(xx2)3)32x⑸ysinx2ycosx22cos2xxx2cosex⑹yyeexxee=xxsinxcosnx⑺yny(sin)cosnxsinxnx(cos)xnn=sinnxcosxcosnxsinx(sinnx)nn1n=sinn(coscosxxnxsinxsinnx)n1⑻y5sinx5uusinxyyyu=5ln5xln55sinxxuux⑼yecosxeuucosxy=yyueecosxsinxx(sin)uux：xyxyx=2ey2yy(cosx2e)ysinx2yyxyx2e2y⑵yyxxyy)xyx)yyyyxxyyyx)xcosyyxlnxsiny)x2⑶2xsinyy2xyxy2xx2'2yyy22simy2xcosyy''y22x2simyy2xy2ysimy2y'⑷y2xcosyx2y22xycosyx22xyyy1y1yy1⑸lnxey2yx1ey2yyyx1yx(2yey)1esiny⑹y2xx2yyesinyecosyyxxexsinyy2yecosyxey⑺eyx3xeye3yyyx2exey3y2y⑻y52xyxy5ln52ln2yxy5xln5y12ln2ydy：⑴ycotxcscx111xy(xx)xx2221x=x21xx2xx⑵y1sinxcosxlnxxsin2xyxxxx=xxxxxx2x2x⑶ysinx2则yu,usinx2yyuux=2u=2x2x2sinxxxtanex⑷y:ytanu,uexyyu则ux1ex==u2excose2xexcose2xx⑴y1y2x1)2x14x32y(3x⑵yy3xln3yln3ln3ln3xx=x⑶y1yx1y()1xx2⑷yxxyxxxyxxx)xxxx2xxx