bonjour
f (x) = 3 x² + 2 x - 5
f ' ( x) = 6 x + 2
g (x) = ( x- 1 ) ( - 2 x + 3 )
u (x ) = x - 1 ⇒ u' (x) = 1
v ( x) = - 2 x + 3 ⇒ v ' (x) = - 2
g ' (x ) = 1 ( - 2 x + 3 ) + ( x - 1 ) ( - 2 )
g ' (x) = - 2 x + 3 - 2 x + 2
g ' (x) = - 4 x + 5
h (x) = 3 x + 1 / x² + 3
u = 3 x + 1 ⇒ u ' = 3
v = x² + 3 ⇒ v² = 2 x
h '( x) = 3 ( x² + 3 ) - ( 3 x + 1 ) ( 2 x) / ( ( x + 3 )²
h ' ( x) = 3 x² + 9 - 6 x² + 2 x / ( x + 3 )²
h ' (x) = - 3 x² + 2 x + 9 / ( x + 3 )²
