Inverse Trig Derivatives

Question 1

y = sin^-1 (u)

Answer 1

. u’
sqr(1-u^2)

Question 2

y = cos^-1 (u)

Answer 2

. -u’
sqr(1-u^2)

Question 3

y = tan^-1 (u)

Answer 3

. u’
(1+u^2)

Question 4

y = cot^-1 (u)

Answer 4

. -u’
(1+u^2)

Question 5

y = sec^-1 (u)

Answer 5

. u’
abs(u) * sqr(u^2-1)

Question 6

y = csc^-1 (u)

Answer 6

. -u’
abs(u) * sqr(u^2-1)