Dérivation

Question 1

x

Answer 1

1

Question 2

kx

Answer 2

k

Question 3

mx + p

Answer 3

m

Question 4

x + k

Answer 4

1

Question 5

k

Answer 5

0

Question 6

x²

Answer 6

2x

Question 7

x^n

Answer 7

nx^(n-1)

Question 8

1 / x

Answer 8

• 1 / x²

Question 9

√x

Answer 9

1 / (2√x)

Question 10

exp(x)

Answer 10

exp(x)

Question 11

cos(x)

Answer 11

• sin(x)

Question 12

sin(x)

Answer 12

cos(x)

Question 13

u + v

Answer 13

u’ + v’

Question 14

uv

Answer 14

u’v + uv’

Question 15

1 / u

Answer 15

• u’ / u²

Question 16

u / v

Answer 16

(u’v - uv’) / v²

Question 17

u^n

Answer 17

nu’u^(n-1)

Question 18

√u

Answer 18

u’ / 2√u

Question 19

ln(x)

Answer 19

1 / x

Question 20

ln(u)

Answer 20

u’ / u

Question 21

exp(u)

Answer 21

u’exp(u)

Question 22

u(ax+b)

Answer 22

u’(ax+b)×a