derivative identities

Question 1

[d/dx] (lnx)

Answer 1

1/x

Question 2

[d/dx] a^x

Answer 2

ln(a)(a^x)

Question 3

[d/dx] arctanx

Answer 3

1/(1+x^2)

Question 4

[d/dx] arcsinx

Answer 4

1/(1-x^2)^1/2

Question 5

[d/dx] arcsecx

Answer 5

1/{IxI(x^2 -1)^1/2}