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18 Cards in this Set

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  • Back

x^n

n*x^(n-1)

x^a

a*x^(a-1)

ln(x) , def. sur R*

1/x

exp(x) , def sur R

exp(x)

a^x , a>0

ln(a)*a^x

cos(x)

- sin(x)

sin(x)

cos(x)

tan(x) , def sur ]-pi/2 ; pi/2[ [pi]

1 + tan²(x) = 1/cos²(x)

arctan(x)

1/(1+x²)

u^n , u≠0, def sur R si n >= 0

n*u'*u^(n-1)

u^a

a*u'*u^(a-1)

ln(|u|) , u≠0

u'/u

exp(u)

u'(x)*exp(u)

a^u , a>0

ln(a)*u'*a^u

cos(u)

-u'*sin(u)

sin(u)

u'*cos(u)

tan(u)

(1+tan²u)*u' = u'/cos²(u)

arctan(u)

u'/(1+u²)