differential calculus

Question 1

d/dx sinx

Answer 1

cosx

Question 2

d/dx secx

Answer 2

secxtanx

Question 3

d/dx tanx

Answer 3

sec2x

Question 4

d/dx cosx

Answer 4

-sinx

Question 5

d/dx cscx

Answer 5

-cscxcotx

Question 6

d/dx cotx

Answer 6

-csc2x

Question 7

cos-x

Answer 7

cosx

Question 8

sin-x

Answer 8

-sinx

Question 9

cos(a+b)

Answer 9

cosacosb-sinasinb

Question 10

sin(a+b)

Answer 10

sinacosb+sinbcosa

Question 11

tanx

Answer 11

sinx/cosx

Question 12

cscx

Answer 12

1/sinx

Question 13

cotx (2)

Answer 13

cosx/sinx = 1/tanx

Question 14

secx

Answer 14

1/cosx

Question 15

cos2x+sin2x =

Answer 15

1

Question 16

sec2x

Answer 16

1+tan2x

Question 17

csc2x

Answer 17

1+cot2x

Question 18

cos0

Answer 18

1

Question 19

sin0

Answer 19

0

Question 20

tan0

Answer 20

0

Question 21

cos-1

Answer 21

1

Question 22

sinx/x

Answer 22

1

Question 23

1-cosx/x

Answer 23

0

Question 24

tanx/x

Answer 24

1

Question 25

sin(2x)

Answer 25

2sinxcosx

Question 26

1/2 sin(2x)

Answer 26

sinxcosx

Question 27

cos(2x)

Answer 27

cos2x-sin2x

Question 28

hospital rule

Answer 28

f(x)/g(x) = 0/0 or infinity / infinity = other derivative