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导数加减乘除公式

更新时间： 2021-05-19 09:25:31

1、u(x),v(x)可导：

(u±v)′=u′±v′

(uv)′=u′v+uv′

(u/v)=(u′v-uv′)/v2 (v≠0)

2、常见导数公式：

(c)`=0 (c为常数）

(x^a)`=ax^(a-1) (a∈R)

(a^x)`=a^(x)lna (a≠1且a＞0)

(e^x)`=e^x

(㏒a（x）)`=1/(xlna) (a≠1且a＞0)

(lnx)`=1/x

(sinx)`=cosx

(cosx)`= -sinx

(tanx)`=1/cos^2x=sec^2x

(cotx)`= -1/sin^2x= -csc^2x

(secx)`=sectanx

(cscx)`= -csccotx

(arcsinx)`=1/(（1-x^2）^1/2)

(arccosx)`= -1/(（1-x^2）^1/2)

(arctanx)`=1/(1+x^2) 1

(arccotx)`= -1/(1+x^2)

关键词：乘除公式

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