Derivs Of Trig Functions

Question 1

d/dx (sin x)

Answer 1

cos x

Question 2

d/dx (cos x)

Answer 2

-sin x

Question 3

d/dx (tan x)

Answer 3

sec x^2

Question 4

d/dx (cot x)

Answer 4

-csc x^2

Question 5

d/dx (sec x)

Answer 5

sec x tan x

Question 6

d/dx (csc x)

Answer 6

-csc x cot c

Question 7

d/dx (arcsin x)

Answer 7

x’ / sqrt(1-x^2)

Question 8

d/dx (arccos x)

Answer 8

-x’ / sqrt(1-x^2)

Question 9

d/dx (arctan x)

Answer 9

x’/(1+x^2)

Question 10

d/dx (arccot x)

Answer 10

-x’/(1+x^2)

Question 11

d/dx (arcsec x)

Answer 11

x’ / (|x| sqrt(1-x^2))

Question 12

d/dx (arccsc x)

Answer 12

-x’ / (|x| sqrt(1-x^2))