derivitave rules 2.0

Question 1

Cx

Answer 1

C

Question 2

C

Answer 2

0

Question 3

ax^n

Answer 3

a*nx^n-1

Question 4

f*g

Answer 4

(fg’) + (gf’)

Question 5

f/g

Answer 5

(gf’)-(fg’)/g^2

Question 6

[f(g(x))]

Answer 6

f’(g)*g’

Question 7

SINx

Answer 7

COSx

Question 8

COSx

Answer 8

-SINx

Question 9

TANx

Answer 9

SEC^2x

Question 10

CSCx

Answer 10

-CSCx*COTx

Question 11

SECx

Answer 11

SECx*TANx

Question 12

COTx

Answer 12

-CSC^2x

Question 13

ARCSINu

Answer 13

[1/(√1-u^2)]*u’

Question 14

ARCCOSu

Answer 14

[-1/(√1-u^2)]*u’

Question 15

ARCTANu

Answer 15

[1/(1+u^2)]*u’

Question 16

g(x) is the inverse of f(x): what is g(x)

Answer 16

1/f’(y)

Question 17

Ln u

Answer 17

(1/u)*u’

Question 18

e^u

Answer 18

e^u*u’

Question 19

a^u

Answer 19

a^u(Ln a)*u’

Question 20

Log a U

Answer 20

[1/((Ln a)u)]u’