derivative rules

Question 1

C

Answer 1

0

Question 2

X

Answer 2

1

Question 3

aX

Answer 3

a

Question 4

X^a

Answer 4

aX^(a-1)

Question 5

e^x

Answer 5

e^x

Question 6

a^x

Answer 6

ln(a)*a^x

Question 7

ln(x)

Answer 7

1/x

Question 8

log_a(x)

Answer 8

1/(xln(a))

Question 9

sinx

Answer 9

cosx

Question 10

cosx

Answer 10

-sinx

Question 11

tanx

Answer 11

sec^2x

Question 12

sin^-1x

Answer 12

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

Question 13

cos^-1x

Answer 13

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

Question 14

tan-1x

Answer 14

1/(1+x^2)

Question 15

f*g

Answer 15

fg’+f’g

Question 16

f/g

Answer 16

(f’g-g’f)/g^2

Question 17

1/f

Answer 17

-f’/f^2

Question 18

f(g(x))

Answer 18

f’(g(x))*g’(x)

Question 19

cotx

Answer 19

-csc^2x

Question 20

secx

Answer 20

secx*tanx

Question 21

cscx

Answer 21

-cscx*cotx

Question 22

csc^-1x

Answer 22

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

Question 23

sec^-1x

Answer 23

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

Question 24

cot^-1x

Answer 24

-1/(1+x^2)