導(dǎo)數(shù)與微分2ppt課件(存儲(chǔ)版)
【正文】 xxeeydxeeedeeddyey????????????11)1(11)1l n ()1l n ()1(11 數(shù)求下列函數(shù)的微分和導(dǎo)例導(dǎo)數(shù)與微分 )s i nc os()s i nc os(c osc os)(s i ns i ns i ns i ns i n)2(bxabxbeydxbxabxbebx dxbdxas i m bxbx dbxeaxdebxbxdedebxbxdedybxeyaxaxaxaxaxaxaxaxaxaxee????????????????????????????導(dǎo)數(shù)與微分 222222122221212222221111)1()1(11)1(11)1(11)1l n ()1l n ()3(22xyxdxxxxdxxxxxdxxxxddxxxxddxxxdxxxxddyxxyxx d xx??????????????????????????????????????導(dǎo)數(shù)與微分 ? 例 12 求下列隱函數(shù)的微分和導(dǎo)數(shù) yxyyxydxyxyyxdydxyxdyyxyy dyx dyy dxx dxdyydydx ydxyxyxddyyxyxy232232)2()23(223)(1)222222223223???????????????????????????（導(dǎo)數(shù)與微分 yxyxyxyxyxyxyxyxyxexyeydxexyedydxyedyexyxdex d yy d xdeydey????????????????????????)()()(xx2)（導(dǎo)數(shù)與微分 )1()1()1()1()()(000lnx0lnx3)112?????????????????????????xyxyxyydxxyxyxydydxydyxdx dyy dxdx dyy dxdydyxyyx d yy d xxyyxxyyxyx（導(dǎo)數(shù)與微分 ? 近似計(jì)算公式????????????????xxfxfxxfxxfxfxxfy)()()()()()(000000導(dǎo)數(shù)與微分 795 4214|111)1()1()(,1,)():13120????????????????????????xxar c t gxfffar c t gxxar c t gxxfar c t g取設(shè)（求下列函數(shù)的近似值例導(dǎo)數(shù)與微分 應(yīng)取弧度值。w) z0C4F7JaMdPhSkVnZq$u*xA2D5G8KbNfQiTlXor%v( y0B3E6I9LcOgRjVmYp!tamp。w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiTlXos%v(y0B3E6I 9LdOgRjVm Yp! tamp。w)z1C4G7JaMePhSkWnZr$u*x+A2D5H8KcNfQiUlXos%v)y0B3F6I9LdOgSjVm Yq! tamp。wz1C4G7JbM ePhTkWnZr $y+B3E6I9LcOgRjUmYp!tamp。v) z0C3F7I aLdPgSkVnYq$t *w A1D5G8JbNeQhTlWor %u( y+B2E6H9LcOf RjUmXp!samp。v)z0C4F7IaMdPgSkVnZq$t*xA1D5G 8JbNeQiTlWor%u( y+B3E6PhTkWnZr $u(x+A2E5H8KcNfRiUlXps%v)y0C3F6IaLdOgSjVmYq! t*wz1D4G7JbMeQhTkWoZr$u(x+B2E5H9KcNfRiUm Xpsamp。w z1C4G7JaMePhTkWnZr$u*x+A2E5H8KcNfQiUlXps%v) y0B3F6I9LdOgSjVmYq!tamp。w)z1C4F7JaMdPhSkVnZq$u*xA2D5G 8KbNf QiTlXor %v(y0B3E6I 9LcOgRjVm Yp! tamp。w)z0C4F7JaMdPhSkVnZq$x+B2E6H9KcOf RiUmXp!samp。w) z1C4F7JaMePhSkWnZq$u*x+A2D5H8KVnYq$t*wA1D4G 8JbNeQhTlWoZr %u(y+B2E6H9KcOfRiUm Xp! samp。w) z1C4F7JaMdPhSkWnZq$u*xA2D5H8KbNf QiTlXor %v(y0B3E6I9LcOgRjVmYp! tamp。w z1C4G7JaMePhTkWnZr$u+B3E6I 9LcOgRjUm Yp! tamp。wz1C4G7JbMePhTkWnZr$u(x+A2E5H8KcNfRiUlXps%v) y0C3F6I aLdOgSjVnYq!t*wz1D4G8JbMeQhTkWoZr %u( x+B2E5H9KcNfRiUmXpsamp。w)z1C4F7JaMXpsamp。w) z0C4F7JaMdPhSkVnZq$u*x A2D5G8KbNfQiTlXor%v( y+B3E6I 9LcOgRjUm Yp! tamp。w) z0C4F7I aMdPgSkVnZq$t*x A1D5G8KbNeQiTlWor%v( y+B3E6H9LcOgRjUmYp!samp。w) z1C4F7JaM ePhSkWnZq$u*x+A2D9LcOfRjUmYp!samp。v)z0C3F7IaLdPgSkVnYq$t*wA1D5G 8JbNeQhTlWoZr %u(y+B2E6H9KcOfRjUm Xp! samp。注：微分公式可以與求dxxxddxxxddxxdar c c t gxdxxdar c t gxdxxxddxxxdc s e x c t gx dxdc s e xx t gx dxxd2222211)19(21)18(11)17(11)16(11a r c c os)15(11a r c s i n)14()13(s e cs e c)12(????????????????導(dǎo)數(shù)與微分 ? 0)()()()(2?????????vvu dvv dudcc ducudu dvv duuvddvduvudvu為常數(shù)導(dǎo)數(shù)與微分 例 10 求下列函數(shù)的微分： dxxxxxdxxxx dxnxxxd
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