什么的导数是secx

∫secxdx=∫1/cosxdx=∫cosx/(1-(sinx)^2)dx=∫1/(1-(sinx)^2)dsinx

=(1/2)∫[1/(1+sinx)]+[1/(1-sinx)]dsinx

=(1/2)ln|1+sinx|-(1/2)ln|1-sinx|+C

=ln|secx+tanx|+C

导数公式

1.y=c(c为常数) y'=0

2.y=x^n y'=nx^(n-1)

3.y=a^x y'=a^xlna

y=e^x y'=e^x

4.y=logax y'=logae/x

y=lnx y'=1/x

5.y=sinx y'=cosx

6.y=cosx y'=-sinx

7.y=tanx y'=1/cos^2x

8.y=cotx y'=-1/sin^2x