Se rendre au contenu
Accueil └UCL - ARCHI1 - Math Q2 └Dérivées Première partie

UCL - ARCHI1 - Math Q2

0 %

Achevé

Contenu du cours

Dérivées Première partie

10 XP
Préc Suivant
Plein écran Partage
Ready
Évaluation
0 0

Il n'y a aucun commentaire pour le moment.

Rejoindre ce cours
pour être le premier à laisser un commentaire.

1. $$y = 3x - x^3$$
A) $$y' = 3\cos x$$ B) $$y' = 3 - 3x^2$$ C) $$y' = 3 - 2x^2$$ D) $$y' = 6x - 3x^2$$ E) $$y' = 3 - x^2$$
2. $$y = \frac{2}{x+1}$$
A) $$y' = \frac{2}{(x+1)^2}$$ B) $$y' = \frac{-1}{(x+1)^2}$$ C) $$y' = \frac{-2}{(x+1)^2}$$ D) $$y' = \frac{2}{x^2}$$ E) $$y' = \frac{-2}{x+1}$$
3. $$y = 3\sin x$$
A) $$y' = 3\cos x$$ B) $$y' = -3\cos x$$ C) $$y' = 3\sin x$$ D) $$y' = -3\sin x$$ E) $$y' = \frac{1}{3}\cos x$$
4. $$y = \frac{3}{x^2+2}$$
A) $$y' = \frac{3}{2x}$$ B) $$y' = \frac{-6x}{(x^2+2)^2}$$ C) $$y' = \frac{6x}{(x^2+2)^2}$$ D) $$y' = \frac{-3}{(x^2+2)^2}$$ E) $$y' = \frac{-6}{(x^2+2)^2}$$
5. $$y = \frac{x+4}{x}$$
A) $$y' = \frac{-4}{x^2}$$ B) $$y' = \frac{4}{x^2}$$ C) $$y' = \frac{1}{x}$$ D) $$y' = \frac{x-4}{x^2}$$ E) $$y' = \frac{-1}{x^2}$$
6. $$y = \frac{1}{1-2x}$$
A) $$y' = \frac{1}{(1-2x)^2}$$ B) $$y' = \frac{-1}{(1-2x)^2}$$ C) $$y' = \frac{-2}{1-2x}$$ D) $$y' = \frac{2}{(1-2x)^2}$$ E) $$y' = \frac{1}{2(1-2x)^2}$$
7. $$y = x\sin x$$
A) $$y' = \sin x - x\cos x$$ B) $$y' = x\cos x$$ C) $$y' = \sin x + x\cos x$$ D) $$y' = \cos x$$ E) $$y' = x\sin x + \cos x$$
8. $$y = \frac{x}{x^2+1}$$
A) $$y' = \frac{1}{(x^2+1)^2}$$ B) $$y' = \frac{x^2+1-2x}{(x^2+1)^2}$$ C) $$y' = \frac{1-x^2}{(x^2+1)^2}$$ D) $$y' = \frac{1+x^2}{(x^2+1)^2}$$ E) $$y' = \frac{2x}{(x^2+1)^2}$$
9. $$y = \sqrt{1-2x}$$
A) $$y' = \frac{1}{2\sqrt{1-2x}}$$ B) $$y' = \frac{-1}{\sqrt{1-2x}}$$ C) $$y' = \frac{2}{\sqrt{1-2x}}$$ D) $$y' = \frac{-2}{\sqrt{1-2x}}$$ E) $$y' = \sqrt{-2}$$
10. $$y = \frac{\sqrt{x}}{2} - \frac{2}{\sqrt{x}}$$
A) $$y' = \frac{1}{4\sqrt{x}} + \frac{1}{x\sqrt{x}}$$ B) $$y' = \frac{1}{2\sqrt{x}} + \frac{1}{2\sqrt{x}}$$ C) $$y' = \frac{1}{\sqrt{x}} - \frac{1}{x}$$ D) $$y' = \frac{-1}{\sqrt{x}} + \frac{1}{x\sqrt{x}}$$ E) $$y' = \frac{1}{2\sqrt{x}}$$