Derivative Formulas

Question 1

d/dx sinx

Answer 1

Cosx

Question 2

D/dx cosx

Answer 2

-sinx

Question 3

D/dx tanx

Answer 3

Sec2x

Question 4

D/dx cotx

Answer 4

-csc2x

Question 5

D/dx secx

Answer 5

Secxtanx

Question 6

D/dx cscx

Answer 6

-cscxcotx

Question 7

D/dx arcsinx

Answer 7

1 / sq1-x2

Question 8

D/dx arccosx

Answer 8

-1 / sq1-x2

Question 9

D/dx arctanx

Answer 9

1 / 1+x2

Question 10

D / dx arccotx

Answer 10

-1 / 1+x2

Question 11

D/dx arcsecx

Answer 11

1 / |x| sq x2-1

Question 12

D/dx arccscx

Answer 12

-1 / |x| sq x2-1

Question 13

D/dx lnx

Answer 13

1/x

Question 14

D/dx logbx

Answer 14

(1/x)(1/lnb)

Question 15

D/dx ex

Answer 15

Ex

Question 16

D/dx bx

Answer 16

(Bx)(lnb)

Question 17

@ bx

Answer 17

(Bx)(1/lnb) +c

Question 18

@ tanx

Answer 18

Ln |secx| +c

Question 19

@cotx

Answer 19

Ln |sinx| +c

Question 20

@ secx

Answer 20

Ln |secx + tanx| +c

Question 21

@ cscx

Answer 21

-ln |cscx + cotx| +c

Question 22

@ 1 / sq a2-x2

Answer 22

Arcsin x/a +c

Question 23

@ 1 / a2+x2

Answer 23

1/a arctan x/a +c

Question 24

@ 1 / x sq x2-a2

Answer 24

1/a arcsec |x|/a +c