Bonjour A tous, je bloque sur un exercice de mon dm de maths je l'ai deja posté mais personne ne m'a repondu voici mon probleme: On considere les deux demi-paraboles C et C' représentatives des fonctions f et g telle que :
f(x)=x² et g(x)=racine de x
1) tracer les deux courbes dans un repère orthonormal
2) Comparer les coefficients directeurs des tangente en A aux courbes C et C'
3) Soit M d'abscisse a sur C et N d'ordonnée a sur C'.Trouver en fonction de a une équation de la tangente en M a C et une équation de la tangente en N a C' et démontrer que, si elles sont sécantes, alors elles se coupent sur la droite d'équation y=x

la première question c'est bon
la seconde je voulais une confirmation:
donc f(x)=x au carré
f'(x)= 2x
f'(a)=2a ( coefficient directeur)
g(x)= racine de x
g'(x)= 1/2 racine de x
g'(a)=1/2 racine de a ( coefficient directeur)
lorsqu'on trace la courbe on aperçoit que les courbes se coupent en (0;0) et en A (1;1) car g(x)= racine de x pour x >0
f'(a)=f'(1)=2 et g'(a)=g'(1)= 1/2
de plus f'(1)*f'(g)=1
j'en conclus que les coefficient directeur sont inverses l'un de l'autre .
Par contre la question 3 je suis vraiment bloquer pourriez vous m'aidez
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