導(dǎo)數(shù)概念及其幾何意義、導(dǎo)數(shù)的運(yùn)算f(4a1f(x)ax3x23219103163133ABCD32y1yxax切于點(diǎn)（1，3）b3A3BC5Dy（x2）(x-a232(xa)3(xa)3(xa)2(xa)DABC22222222144yxx(1,)3331291323ABCD9ff(xf0f(x)0的5yaxbxc2f523A3BC2D26f(x)x1f(x)在AfCf(x)(x1)3(x1)BDf(x)2(xf(x)x12(x)2(x27111(x1(logxACBDxx22xln2(3)3loge(xcosx)2xsinxxx2318yxx5x1在323ABCD64439yx3x11)32Ay3x4By3x2Cy4x3y4x5Dyxsinxcosx(x,y)kg(x)kg(x);.CDABs5t2[1,1t]t6t6t6t6DABCf(x)ln(2x1)2xy30525xx25ABC3D0yPy4x1P300或(1,或(1,(2,8)ACBD23x3xP點(diǎn)Py(,]24[0,][0,)[,)[,)ABCD2244設(shè)yf(x)f(x)0f(x)2x2yf(x)x2yx1yf(x)M(1,f(1))yx2f(1)f(1)2ykxylnxk1sinx1cosxx5xx1x1xyxtanx）yyy1x1xx2C:yxC:y(x2)l與C,C與l221212f(x)axbyf(x)f7x4y0xf(x);.yf(x)x0yx1，其中a0，設(shè)兩曲線已知定義在正實數(shù)集上的函數(shù)f(x)x2ax,g(x)alnxb222yf(x),yg(x)ab1ab導(dǎo)數(shù)概念及其幾何意義、導(dǎo)數(shù)的運(yùn)算答案123456789BDABBBACADABBB2xxxx2(x)x22x1y、f、、x21、3e）cosx(1cosx)(1xinx)sinx(1cosx)2ycosx1sinx(1cosx)2）sinx32yxx3x23y3xx5xcosx2xsinx22322）(1x)(1x)22y(1x)(1x)2(1x)(x0且x1)1x(1x(1x)(1x(1x)(1x)2y24(x0且x1)(1x)2;.）(tanx(sinxcosx(sinx)cosxsinx(cosx)1cosx2cosx2yxtanxx(tanxxtanxcosx2C,CP(x,y)l，P(x,y)12111222由f(x)x,g(x)(x2)22得f(x)2x,g(x)2x4f(x)2xk））11kg(x)2x422yyx(x2)22k又）2112xxxx2121由x0x2或11x22x02k0k4或且P(0,0)1且P(2,0)P(2,4)且P(0,4)或212y0y4x4或l77x4y0yx34當(dāng)x2y12b又f(x)ax2b12aa122b3b7a44;.故f(x)x3x3P(x,y)f(x)1P(x,y)0x20003yy(1)(xx)x020(x33即y)(1)(xx)x2x2006令xyx060)xx0令yx的yx2x0yx(2x,2x)00P(x,y)yxx00016S2x62x00yf(x)yxx0）a1f(x)1x22x,g(x)xb23f(x)xg(x)xP(x,y)00f(x)g(x)0f(x)g(x)000;.1x2x3lnxb220003x2x00x3x100b52）f(x)g(x)00f(x)g(x)001x2axalnxb222000a2x2ax00x3axa00axa01aaalnab2222即b5a3alna(a222設(shè)(a)5a3alna(a222