Trig. Derivatives

Question 1

d(sin v)/dx =

Answer 1

(cos v)(dv/dx)

Question 2

d(cos v)/dx =

Answer 2

(-sin v)(dv/dx)

Question 3

d(tan v)/dx =

Answer 3

(sec^2 v)(dv/dx)

Question 4

d(cot v)/dx =

Answer 4

(-csc^2 v)(dv/dx)

Question 5

d(sec v)/dx =

Answer 5

(sec v)(tan v)(dv/dx)

Question 6

d(csc v)/dx =

Answer 6

(-csc v)(cot v)(dv/dx)

Question 7

d(arc sin v)/dx =

Answer 7

(dv/dx)/(sqrt(1-v^2))

Question 8

d(arc cos v)/dx =

Answer 8

-(dv/dx)/(sqrt(1-v^2))

Question 9

d(arc tan v)/dx =

Answer 9

(dv/dx)/(1+v^2)

Question 10

d(arc cot v)/dx =

Answer 10

-(dv/dx)/(1+v^2)

Question 11

d(arc sec v)/dx =

Answer 11

(dv/dx)/(v(sqrt(v^2 -1)))

Question 12

d(arc csc v)/dx =

Answer 12

-(dv/dx)/(v(sqrt(v^2 -1)))