Trig Derivatives

Question 1

D/dx [arccos(u)]

Answer 1

-u’
____________
Sqrt(1 - u^2)

Question 2

d/dx[arcsin(u)]

Answer 2

u’
____________
Sqrt(1 - u^2)

Question 3

D/dx[arctan(u)]

Answer 3

u’
_________
1 + u^2

Question 4

D/dx[arcsec(u)]

Answer 4

u’
________________
|u|sqrt(u^2 - 1)

Question 5

D/dx[arccsc]

Answer 5

-u’
________________
|u|sqrt(u^2 - 1)