導(dǎo)數(shù)與微分習(xí)題及答案

1、1第二章第二章導(dǎo)數(shù)與微分導(dǎo)數(shù)與微分(A)(A)1設(shè)函數(shù)，當(dāng)自變量由改變到時(shí)，相應(yīng)函數(shù)的改變量??xfy?x0xxx??0()??yABCD??xxf??0??xxf??0????00xfxxf?????xxf?02設(shè)在處可，則()??xf0x???????????xxfxxfx000limABCD??0xf????0xf????0xf???02xf?3函數(shù)在點(diǎn)連續(xù)，是在點(diǎn)可導(dǎo)的()??xf0x??xf0xA必要不充分條件B充分不必要條件

2、C充分必要條件D既不充分也不必要條件4設(shè)函數(shù)是可導(dǎo)的，且，則()??ufy?2xu??dxdyABCD??2xf???2xfx???22xfx???22xfx5若函數(shù)在點(diǎn)連續(xù)，則在點(diǎn)()??xfa??xfaA左導(dǎo)數(shù)存在；B右導(dǎo)數(shù)存在；C左右導(dǎo)數(shù)都存在D有定義6在點(diǎn)處的導(dǎo)數(shù)是()??2??xxf2?xA1B0C1D不存在7曲線在點(diǎn)處切線斜率等于()545223????xxxy??12?A8B12C6D68設(shè)且二階可導(dǎo)，則()??xfey?

3、??xf???yABCD??xfe????xfexf??????????xfxfexf?????????????xfxfexf????29若在處可導(dǎo)，則，的值應(yīng)為()?????????02sin0xxbxexfax0?xab318設(shè)函數(shù)，則。??????????22sin?xxf????????4?f19設(shè)函數(shù)由方程所確定，則。??xyy?0???yxeexy???0y20曲線在點(diǎn)處的切線方程。xyln???1eP21若，則。?????

4、???????tyttxxf1ln22??0tdxdy22若函數(shù)，則。??xxeyxsincos???dy23若可導(dǎo)，，則。??xf??????xfffy???y24曲線在點(diǎn)處的切線方程是。????531225???xy???????51025討論下列函數(shù)在處的連續(xù)性與可導(dǎo)性：0?x(1)；(2)xysin?????????0001sinxxxxy26已知，求。????????00sinxxxxxf??xf?27設(shè)，求及。1ln44??