§1.2.2-1基本初等函數(shù)的導(dǎo)數(shù)公式及導(dǎo)數(shù)的運(yùn)算法則

1、1.2.2基本初等函數(shù)的導(dǎo)數(shù)公式及導(dǎo)數(shù)的運(yùn)算法則基本初等函數(shù)的導(dǎo)數(shù)公式及導(dǎo)數(shù)的運(yùn)算法則教學(xué)目標(biāo)：1熟練掌握基本初等函數(shù)的導(dǎo)數(shù)公式；2掌握導(dǎo)數(shù)的四則運(yùn)算法則；3能利用給出的基本初等函數(shù)的導(dǎo)數(shù)公式和導(dǎo)數(shù)的四則運(yùn)算法則求簡(jiǎn)單函數(shù)的導(dǎo)數(shù)教學(xué)重點(diǎn)：基本初等函數(shù)的導(dǎo)數(shù)公式、導(dǎo)數(shù)的四則運(yùn)算法則教學(xué)難點(diǎn)：基本初等函數(shù)的導(dǎo)數(shù)公式和導(dǎo)數(shù)的四則運(yùn)算法則的應(yīng)用教學(xué)過程：一創(chuàng)設(shè)情景一創(chuàng)設(shè)情景五種常見函數(shù)、、、、的導(dǎo)數(shù)公式及應(yīng)用yc?yx?2yx?1yx?yx?二

2、新課講授二新課講授（一）基本初等函數(shù)的導(dǎo)數(shù)公式表（一）基本初等函數(shù)的導(dǎo)數(shù)公式表函數(shù)導(dǎo)數(shù)yc?0y?yx?1y?2yx?2yx?1yx?21yx??yx?12yx??()()nyfxxnQ???1nynx??函數(shù)導(dǎo)數(shù)yc?0y?()()nyfxxnQ???1nynx??sinyx?cosyx?cosyx?sinyx??()xyfxa??ln(0)xyaaa???()xyfxe??xye?()logafxx?1()log()(01)lnaf

3、xxfxaaxa????且（2）11()()11yxx????22(1)(1)(1)(1)xxxx??????221122(1)(1)xxxx?????22111[]2(1)(1)xxx????2221(1)(1)(1)2xxxx??????2(1)(1)xxxx???2(1)(1)xxyxx???（3）(sinln)[(ln)sin]yxxxxxx??????(ln)sin(ln)(sin)xxxxxx??????1(1ln)sin(

4、ln)cosxxxxxxx????????sinlnsinlncosxxxxxx??????sinlnsinlncosyxxxxxx??????（4），224(4)144ln41ln4()4(4)(4)4xxxxxxxxxxxxxy???????????。1ln44xxy??（5）2211ln212()(1)2()21ln1ln1ln(1ln)(1ln)xxyxxxxxx??????????????22(1ln)yxx??（6）22(2

5、51)(251)()xxyxxexxe????????，22(45)(251)(24)xxxxexxexxe???????????。2(24)xyxxe????（7）sincos()cossinxxxyxxx???2(sincos)(cossin)(sincos)(cossin)(cossin)xxxxxxxxxxxxxxx?????????2(coscossin)(cossin)(sincos)(sinsins)(cossin)xxx