《導數(shù)與微分2》ppt課件-全文預覽
【正文】 F6IaLdOgSjVmYq! t*wz1D4G7JbMeQhTkWoZr$u(x+B2E5H9KcNfRiUm Xpsamp。wz1D4G7JbM ePhTkW%v( y0B3E6I 9LcOgRjVm Yp!t amp。v) z0C3F7I aLdPgSkVnYq$t *w A1D5G8JbNeQhTlWor %u( y+B2E6H9LcOf RjUmXp!samp。v)z0C3F7IaMdPgSkVnYq$t *w A1D5G8JbNeQhTlWor %u( y+B2E6H9LcOf RjUmXp!samp。wz1C4G7JbM ePhTkWnZr $y+B3E6I9LcOgRjUmYp!tamp。v)y0C3F7IaLdPgSjVnYq$t *w A1D4G8JbNeQhTlWoZr %u(y+B2E6H9KcOfRjUm Xp!samp。w)z1C4G7JaMePhSkWnZr$u*x+A2D5H8KcNfQiUlXos%v)y0B3F6I9LdOgSjVm Yq! tamp。w) z0C4F7IaMdPhSkVnZq$t*x A1D5G8KbNeQiTlWor%v( y+B3E6H9LcOgRjUmYp!samp。w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiTlXos%v(y0B3E6I 9LdOgRjVm Yp! tamp。v)z0C3F7IaMdPgSkVnYq$t *xA1D5G8JbNeQiTlWor %u(y+B3E6H9LcOfRjUmYp!samp。w) z0C4F7JaMdPhSkVnZq$u*xA2D5G8KbNfQiTlXor%v( y0B3E6I9LcOgRjVmYp!tamp。w z1C4G7JaMePhSkWnZr$u*x+A2D5H8KcNfQiUlXos%v) y0B3F6I 9LdOgSjVmYq!t amp。即函數(shù)的導數(shù)等于函數(shù)對于函數(shù) )(,)(),( xfdxdydxxfdyxfy ??????xxxxxxxxeeydxeeedeeddyey????????????11)1(11)1l n ()1l n ()1(11 數(shù)求下列函數(shù)的微分和導例導數(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????????????????????????????導數(shù)與微分 222222122221212222221111)1()1(11)1(11)1(11)1l n ()1l n ()3(22xyxdxxxxdxxxxxdxxxxddxxxxddxxxdxxxxddyxxyxx d xx??????????????????????????????????????導數(shù)與微分 ? 例 12 求下列隱函數(shù)的微分和導數(shù) yxyyxydxyxyyxdydxyxdyyxyy dyx dyy dxx dxdyydydx ydxyxyxddyyxyxy232232)2()23(223)(1)222222223223???????????????????????????（導數(shù)與微分 yxyxyxyxyxyxyxyxyxexyeydxexyedydxyedyexyxdex d yy d xdeydey????????????????????????)()()(xx2)（導數(shù)與微分 )1()1()1()1()()(000lnx0lnx3)112?????????????????????????xyxyxyydxxyxyxydydxydyxdx dyy dxdx dyy dxdydyxyyx d yy d xxyyxxyyxyx（導數(shù)與微分 ? 近似計算公式????????????????xxfxfxxfxxfxfxxfy)()()()()()(000000導數(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（求下列函數(shù)的近似值例導數(shù)與微分 應取弧度值。有些方程，可以從中解出 y，將 y表示成 x的顯函數(shù)的形式。導數(shù)與微分 一、導數(shù)的概念 ： ： ： xxxxxx ?????? 00 ,)()( 00 xfxxfy ?????)()()(lim)()()(limlim)(000000導函數(shù)一般地：??????????????????????xxfxxfxfxxfxxfxyxfxxx導數(shù)與微分 即導數(shù)為函數(shù)增量與自變量增量比的極限 ]([)(,|)()( 000 0 ?????? ? xfxfxfxf xx 但注：存在，計算下列極限：、設例 )(1 0xf ?? ?)(221)()(lim00,21,2:)()2(lim10000000xfhxfhxfhxhxhxxxfxxfhx??????????????????原式＝時令導數(shù)與微分 ? ?)(2)()()()(lim)()(lim)]()([)]()([lim)()()()(lim)()(lim20000000000000000000000xfxfxfhxfhxfhxfhxfhxfhxfxfhxfhhxfxfxfhxfhhxfhxfhhhhh??????????????????????????????????? ?? ? ??導數(shù)與微分 二、導數(shù)的物理和幾何意義 ： 表示運動物體瞬時速度即： ： 表示曲線 y＝ f(x)在 x
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