diff inverse trig

Question 1

d/dx(sin^-1x)

Answer 1

1/(√1-x²)

Question 2

d/dx(cos^-1x)

Answer 2

-1/(√1-x²)

Question 3

d/dx(tan^-1x)

Answer 3

1/(1+x²)

Question 4

d/dx(cot^-1x)

Answer 4

-1/(1+x²)

Question 5

d/dx(sec^-1x)

Answer 5

1/(|x|√x²-1)

Question 6

d/dx(cosec^-1x)

Answer 6

-1/(|x|√x²-1)