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fonction inverse $f(x) = \frac{1}{x}$ a pour dérivée + \[ + f'(x) = \frac{-1}{x^2} + \] +\end{propriete} + +\paragraph{Exemples}: Dérivation de fonctions + +\begin{multicols}{2} + + \[ + f(x) = 2x^2 + 3 - 30\times \frac{1}{x} + \] + + \columnbreak + + \[ + g(x) = 10x^3 + 3x^2 + \frac{5}{x} + \] + +\end{multicols} +\afaire{Dériver les fonctions} + + +\end{document} diff --git a/TST/12_Fonction_inverse/index.rst b/TST/12_Fonction_inverse/index.rst index 5e17d8f..5f1b653 100644 --- a/TST/12_Fonction_inverse/index.rst +++ b/TST/12_Fonction_inverse/index.rst @@ -19,7 +19,15 @@ Activité avec le tableur ou de programmation pour étudier un coût total, moye - `Activité de programmation sur les études de coûts (version ipython) <./1E_couts.ipynb>`_ - `Activité de programmation sur les études de coûts (version html) <./1E_couts.html>`_ -Bilan: nécessité d'étudier la fonction 1/x pour l'étude du coût unitaire +Bilan: nécessité d'étudier la fonction 1/x pour l'étude du coût moyen + +.. image:: ./1B_fonction_inverse.pdf + :height: 200px + :alt: Définition et cadre de la fonction inverse Étape 2: Bastonage sur des exercices types. =========================================== + +.. image:: ./2B_derivation.pdf + :height: 200px + :alt: Dérivée de la fonction inverse diff --git a/TST/index.rst b/TST/index.rst index 8a63cd7..7943a0d 100644 --- a/TST/index.rst +++ b/TST/index.rst @@ -2,7 +2,7 @@ Terminale technologique ####################### :date: 2020-08-21 -:modified: 2021-04-25 +:modified: 2021-05-17 :authors: Bertrand Benjamin :category: TST :tags: Progression @@ -65,8 +65,8 @@ Période 5 (Mai juin - 7 semaines) ================================== - `Ajustement affine <./11_Ajustement_affine>`_ +- `Étude de la fonction inverse <./12_Fonction_inverse>`_ - Ordre de grandeur et échelle logarithmique -- Étude de la fonction inverse - Étude de fonctions - Probabilité totale et indépendance - Ajustement avec changement de variables