u(x),v(x)可导:(u±v)′=u′±v′,今天小编就来聊一聊关于导数加减乘除公式?接下来我们就一起去研究一下吧!
导数加减乘除公式
u(x),v(x)可导:
(u±v)′=u′±v′
(uv)′=u′v+uv′
(u/v)=(u′v-uv′)/v2 (v≠0)
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)