Inverse Trig

Question 1

d/dx sin^-1(x)

Answer 1

1/sqrt(1-x^2)

Question 2

d/dx cos^-1(x)

Answer 2

-1/sqrt(1-x^2)

Question 3

d/dx tan^-1(x)

Answer 3

1/(1+x^2)

Question 4

d/dx sec^-1(x)

Answer 4

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

Question 5

d/dx cot^-1(x)

Answer 5

-1/(1+x^2)

Question 6

d/dx csc^-1(x)

Answer 6

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