导数加减乘除公式

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  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)

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