Derivatives of Inverse Trig Functions

Question 1

(d/dx) arcsin(x)

Answer 1

1 / sqrt(1- x^2)

Question 2

(d/dx) arccos(x)

Answer 2

-1 / sqrt(1-x^2)

Question 3

(d/dx) arctan(x)

Answer 3

1 / 1+x^2

Question 4

(d/dx) arcsec(x)

Answer 4

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

Question 5

(d/dx) arccsc(x)

Answer 5

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

Question 6

(d/dx) arccot(x)

Answer 6

-1 / 1+ x^2