Derivatives Table

1. Table of derivatives I
I(c)
0
= 0
I(x
a
)
0
=a x
a1
I(lnx)
0
=
1
x
I(e
x
)
0
=e
x

2. Table of derivatives II - trigonometric functions
I(sinx)
0
= cosx (cosx)
0
=sinx
I(tanx)
0
= sec
2
x (cotx)
0
=csc
2
xI(secx)
0
= secxtanx (cscx)
0
=cscxcotx

3. Table of derivatives III - inverse trigonometric functions
I(sin
1
x)
0
=
1
p
1x
2
(cos
1
x)
0
=
1
p
1x
2
I(tan
1
x)
0
=
1
x
2
+ 1
(cot
1
x)
0
=
1
x
2
+ 1