導(dǎo)數(shù)與微分習(xí)題

1、導(dǎo)數(shù)與微分導(dǎo)數(shù)與微分一、選擇題一、選擇題1.1.設(shè)函數(shù)f(x)可導(dǎo)，則【】????hxfhxfh)()3(lim0A.B.C.D.3()fx?1()3fx?3()fx??1()3fx??2.2.設(shè)函數(shù)f(x)可導(dǎo)，則【】0(1)(1)lim2xffxx????A.B.C.D.2(1)f?1(1)2f?2(1)f??1(1)2f??3.3.函數(shù)在處的導(dǎo)數(shù)【】xy?0?xA.不存在B.C.D.101?4.4.設(shè)，則【】xexf2)(?(0)

2、f????A.B.C.D.82015.5.設(shè)，則【】xxxfcos)(?()fx???A.B.xxsincos?xxxsincos?C.D.xxxsin2cos??xxxsin2cos?6.6.設(shè)函數(shù)f(x)可導(dǎo)，則【】0(2)()limhfxhfxh????A.B.C.D.2()fx?1()2fx?2()fx??1()2fx??7.7.設(shè)，其中是可導(dǎo)函數(shù)，則=【】sin()yfx?()fxy?A.B.cos()fxsin()fx?C.

3、D.cos()fx?cos()()fxfx??8.8.設(shè)函數(shù)f(x)可導(dǎo)，則【】0(2)()limhfxhfxh????A.B.C.D.2()fx?1()2fx?2()fx??1()2fx??9.9.設(shè)，其中是可導(dǎo)函數(shù)，則=【】(arctan)yfx?()fxy?A.B.(arctan)fx?2(arctan)(1)fxx???C.D.2(arctan)1fxx???2(arctan)1fxx??10.10.設(shè)，其中是可導(dǎo)函數(shù)，則=【】

4、(sin)yfx?()fxy?A.B.C.D.不存在344320.設(shè)函數(shù)在可導(dǎo)，則【】()fx0xx?000(2)()limhfxhfxh????A.B.C.D.02()fx?0()fx?02()fx??0()fx??21.下列關(guān)于微分的等式中，錯(cuò)誤的是【】A.B.21d(arctan)d1xxx??211d()dxxx??C.D.dcosxsindxx?d(sin)cosdxxx?22.設(shè)函數(shù)，則【】??cosfxx?(6)(0)f?

5、A.0B.1C.1D.不存在23.設(shè)，則【】()xfxe?0(1)(1)limxfxfx???????A.B.C.D.1e2e2e24.設(shè)函數(shù)在可導(dǎo)，則【】()fx0xx?000(2)()limhfxhfxh????A.B.C.D.02()fx?0()fx?02()fx??0()fx??25.下列關(guān)于微分的等式中，錯(cuò)誤的是【】A.B.21d(arctan)d1xxx??211d()dxxx??C.D.dcosxsindxx?d(sin)

6、cosdxxx?26.設(shè)函數(shù)在處可導(dǎo)，且，則【】()fx0?xx0()??fxk000(2)()lim????hfxhfxhA.B.C.D.2k12k2?k12?k27.設(shè)函數(shù)在可導(dǎo)，則【】()fx0x000(4)()limhfxhfxh????A.B.C.D.04()fx?01()4fx?04()fx??01()4fx??28.設(shè)函數(shù)在可導(dǎo)且，則【】()fx0x0()2??fx000()(2)lim?????hfxhfxhhA.2B.