Common Derivatives

Question 0

d/dx cosx

Answer 0

-sinx

Question 1

d/dx sinx

Answer 1

cosx

Question 2

d/dx tanx

Answer 2

sec^2x

Question 3

d/dx e^x

Answer 3

e^x

Question 4

d/dx ln|x|

Answer 4

1/x

Question 5

d/dx a^x

Answer 5

a^x lna

Question 6

d/dx loga(x)

Answer 6

1/xlna

Question 7

d/dx cscx

Answer 7

-cscxcotx

Question 8

d/dx secx

Answer 8

secxtanx

Question 9

d/dx cotx

Answer 9

-csc^2x

Question 10

d/dx arcsinx

Answer 10

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

Question 11

d/dx arccosx

Answer 11

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

Question 12

d/dx arctanx

Answer 12

1/(1+x^2)

Question 13

d/dx sinhx

Answer 13

coshx

Question 14

d/dx coshx

Answer 14

sinhx

Question 15

d/dx tanhx

Answer 15

sech^2x

Question 16

d/dx arcsinhx

Answer 16

1/(1+x^2)^(1/2)

Question 17

d/dx arccoshx

Answer 17

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

Question 18

d/dx arctanhx

Answer 18

1/(1-x^2)