Trigonometric, inverse trigo, exponential, logarithmic, and hyperbolic

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^2 (x)

Question 4

d/dx (cot x)

Answer 4

-csc^2 (x)

Question 5

d/dx (sec x)

Answer 5

sec (x) tan (x)

Question 6

d/dx (csc x)

Answer 6

-csc (x) cot (x)

Question 7

d/dx (arcsin u)

Answer 7

u’ / √(1 - u^2)

Question 8

d/dx (arccos u)

Answer 8

-u’ / √(1 - u^2)

Question 9

d/dx (arctan u)

Answer 9

u’ / 1 + u^2

Question 10

d/dx (arccot u)

Answer 10

-u’ / 1 + u^2

Question 11

d/dx (arcsec u)

Answer 11

u’ / |u|√(u^2 - 1)

Question 12

d/dx (arccsc u)

Answer 12

-u’ / |u|√(u^2 - 1)

Question 13

d/dx (a^x)

Answer 13

a^x (ln a)

Question 14

d/dx (e^x)

Answer 14

e^x

Question 15

d/dx (loga u)

Answer 15

u’ / u (ln a)

Question 16

d/dx (ln u)

Answer 16

u’ / u

Question 17

d/dx (sinh x)

Answer 17

cosh (x)

Question 18

d/dx (cosh x)

Answer 18

sinh (x)

Question 19

d/dx (tanh x)

Answer 19

sech^2 (x)

Question 20

d/dx (coth x)

Answer 20

-csch^2 (x)

Question 21

d/dx (sech x)

Answer 21

-sech (x) tanh (x)

Question 22

d/dx (csch x)

Answer 22

-csch (x) coth (x)