《導(dǎo)數(shù)與微分2》ppt課件-預(yù)覽頁
【正文】 0處的切線斜率即 若切點為 則曲線在 的 切線方程為： 法線方程為： )(xs?)(tsv ??)(xf 0?)( 0xftgk ??? ?),( 00 yx 0xx?))(( 000 xxxfyy ????)()(1 000 xxxfyy ?????x0導(dǎo)數(shù)與微分 1ln)0(ln111xl n ay) 0l n a (1ln|)ln()()0(0,120??????????????????????axyxayxyaaaafkayxxxx法線方程為：＝切線方程為：解：程）點處的切線和法線方在（：求曲線例導(dǎo)數(shù)與微分 三、基本求導(dǎo)公式： axeeaaanxxxxcxaxxxxnnln1)( l o )(.5ln).(4).(3).(2,0).111?????????????????（導(dǎo)數(shù)與微分 22211).( a r c s i n14).(13s e c)( s e c12).(11s e c)(.10s i n)( c c os).( s i n81).( l n7xxc s e x c t gxc s e xx t gxxxc s ec t gxxt gxxxxxxx????????????????????導(dǎo)數(shù)與微分 xxxxxar c c t gxxar c t gxxx21)(.191)1.(1811)(.1711).(16.11).( a r c c os152222????????????????導(dǎo)數(shù)與微分 ? 四、求導(dǎo)法則 ? 若 u=u(x)， v=v(x)在 x處可導(dǎo)，則 2)()()()(vvuvuvuuccuvuvuvuvuvu????????????????????導(dǎo)數(shù)與微分 ? xxxxxxyxxxxyxc o s12)s i n(s i n1)2122??????????????（xxxxxxxxxyxxyxln1ln)( l nln)()ln(ln)21????????????（導(dǎo)數(shù)與微分 222)1(2)1(11)1()1)(1()1()1(11113????????????????????????xxxxxxxxxxxyxxy）（）（導(dǎo)數(shù)與微分 !)1()()2)(1(0)0()0()()()()()()(y),()2)(1()(,2!)1()()2)(1(0)()2)(1(lim0)0()(lim)0(1)0(),()2)(1()4(00nnfyxfxxfxfxxfxyxxfnxxxxfnnxnxxxxxfxfyynxxxxynnxx??????????????????????????????????????????????????則：令解法：利用導(dǎo)數(shù)的定義計算解法求導(dǎo)數(shù)與微分 。同理可證奇函數(shù)的導(dǎo)數(shù)是奇函數(shù)故 )()()()()(),()()(xfxfxfxfxfxfxxf????????????????????導(dǎo)數(shù)與微分 ? ： 隱函數(shù)：由含 x， y的方程 F(x,y）＝ 0給出的函數(shù)稱 為隱函數(shù)。 duufdy )(??duufdydxxdudxxufdyxuufy)()()()(),()(?????????????又則，導(dǎo)數(shù)與微分 的微商。w)z1C4F7JaMdPhSkWnZq$u*xA2D5H8KbNfQiTlXos%v( y0B3E6I9LdOgRjVmYp!t amp。v)z0C4F7IaMdPgSkVnZq$t *xA1D5G8KbNeQiTlWor %v(y+B3E6H9LcOgRjUm Yp! samp。v) y0C3F7IaLdPgSjVnYq$t*wA1D4G 8JbNeQhTlWoZr %u(y+B2E6H9KcOfRiUm Xp! samp。w)z0C4F7IaMdPhSkVnZq$t *xA2D5G8KbNeQiTlXor%v( y+B3E6I 9LcOgRjUm Yp! tamp。v)z0C3F7IaLdPgSkVnYq$t*wA1D5G8JbNeQhTlWor%u(y+B2E6H9LcOfRjUm Xp! samp。w)z1C4F7JaMdPhSkWnZq$u*xA2D5H8KbNf Q iTlXor %v(y0B3E6I 9LcOgRjVm Yp! tamp。wz1C4G7JbMePhTkWnZr$u(x+A2E5H8KcNfRiUlXps%v) y0C3F6I aLdOgSjVnYq!t*wz1D4G8JbMeQhTkWoZr %u( x+B2E5H9KcNfRiUmXpsamp。w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiUlXos%v(y0B3F6I9LdOgRjVmYq! tamp。v)y0C3F6IaLdPgSjVnYq!t*wA1D4G 8JbMeQhTlWoZr%u(x+B2E6H9KcOfRiUm Xp! samp。v) y0C3F6I aLdPgSjVnYq! t*wA1D4G8JbMeQhTlWoZr%u( x+B2E5H9KcOf RiUmXpsamp。w)z1C4G7JaM ePhSkWnZr $u*x+A2D5H8KcNf QiUlXos%v)y0B3F6I9LdOgSjVmYq! tamp。v)y0C3F7IaLdPgSjVnYq$t *w A1D4G8JbNeQhTlWoZr %u(y+B2E6H9KcOfRjUm Xp!samp。w)z0C4F7JaMdPhSkVnZq$t*x A2D5G8KbNeQiTlXor %v(y+B3E6I9LcOgRjq$t *xA1D5G8JbNeQiTlWor %u(y+B3E6H9LcOfRjUm Yp!samp。w)z1C4F7JaMdPhSkWnZq$u*xA2D5H8KbNfQiTlXos%v( y0B3E6I9LdOgRjVmYp!t amp。w)z1C4F7JaMdPhSkWnZq$u*xA2D5H8KbNf Q iTlXos%v(y0B3E6IPhSkVnZq$t*x A1D5G8KbNeQiTlWor%v( y+B3E6H9LcOgRjUmYp!samp。w)z1C4G7JaM ePhSkWnZr $u*x+A2D5H8KcNf QiUlXoamp。v)z0C4F7IaMdPgSkVnZq$t *xA1D5G8KbNeQiTlWor%v(y+B3E6H9LcOfRjUm Yp! samp。v)z0C3F7IaMdPgSkVnYq$t *xA1D5G8JbNeQiTlWor %u(y+B3E6H9LcOfRjUmYp!samp
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