Derivatives of inverse trig functions

Question 1

arcsin

Answer 1

1/ square root of (1-x^2)

Question 2

arccos

Answer 2

-1/ square root of (1-x^2)

Question 3

arctan

Answer 3

1/ (1+x^2)

Question 4

arccot

Answer 4

-1/ (1+x^2)

Question 5

arcsec

Answer 5

1/x square root of (x^2-1)

Question 6

arccsc

Answer 6

-1/x square root of (x^2-1)