05d69cad60b745ef62021c6fa8c6ba5cbf3591f9
[perso/Denise/lycee/2015-2016.git] / 2nde / calcul_mental / modele.tex
1 \newcommand\consigne{Calculer la dérivée des fonctions suivantes
2
3 \bigskip}
4 \newcommand\qa{$f(x) = x^2 + 1$}
5 \newcommand\ra{$f'(x) = 2x$}
6 \newcommand\qb{$f(x) = 5x^3$}
7 \newcommand\rb{$f'(x) = 15x^2$}
8 \newcommand\qc{$f(x) = \frac{1}{x} + 2x + 1$}
9 \newcommand\rc{$f'(x) = -\frac{1}{x^2} + 2$}
10 \newcommand\qd{$f(x) = x^2 + x + 1$}
11 \newcommand\rd{$f'(x) = 2x + 1$}
12 \newcommand\qe{$f(x) = 3x^3 + 2x^2 + x + \sqrt 2$}
13 \newcommand\re{$f'(x) = 9x^2 + 4x + 1$}
14
15 %%%%%%%%%%%%%%%
16
17 \begin{document}
18 \slide{Dérivées}
19
20 \slide{\consigne
21
22 1)
23
24 \qa
25 }
26
27 \slide{\consigne
28
29 2)
30
31 \qb
32 }
33 \slide{\consigne
34
35 3)
36
37 \qc
38 }
39
40 \slide{\consigne
41
42 4)
43
44 \qd
45 }
46 \slide{\consigne
47
48 5)
49
50 \qe
51 }
52
53 \slide{\consigne
54 \begin{enumerate}[1)]
55 \item \qa~\reponse{2}{\ra}
56 \item \qb~\reponse{3}{\rb}
57 \item \qc~\reponse{4}{\rc}
58 \item \qd~\reponse{5}{\rd}
59 \item \qe~\reponse{6}{\re}
60 \end{enumerate}
61 }