CALCUL DE DERIVEES

Question 1

A€R

Answer 1

0

Question 2

x

Answer 2

1

Question 3

ax

Answer 3

a

Question 4

x^n, n€R

Answer 4

nx^n-1

Question 5

1/x

Answer 5

-1/x^2

Question 6

x^0.5

Answer 6

1/2x^0.5

Question 7

ln(x)

Answer 7

1/x

Question 8

e^x

Answer 8

e^x

Question 9

sin(x)

Answer 9

cos(x)

Question 10

tan(x)

Answer 10

1+tan^2(x) ou 1/cos^2(x)

Question 11

cos(x)

Answer 11

-sin(x)

Question 12

u(x)^n

Answer 12

nu’(x)u(x)^n-1

Question 13

u(x)^0.5

Answer 13

u’x/2u(x)^0.5

Question 14

ln(u)

Answer 14

u’(x)/u(x)

Question 15

e^u(x)

Answer 15

u’(x)e^u(x)

Question 16

arcsin(u)

Answer 16

u’(x)/(1-u^2)^0.5

Question 17

arccos(u)

Answer 17

-u’(x)/(1-u^2)^0.5

Question 18

arctg(u)

Answer 18

u’(x)/(1+u^2)