If you're seeing this message, it means we're having trouble loading external resources on our website.

Si vous avez un filtre web, veuillez vous assurer que les domaines *. kastatic.org et *. kasandbox.org sont autorisés.

Contenu principal

Dérivées des fonctions usuelles - Formulaire

.

Fonctions puissances

Quel que soit l'entier n, left parenthesis, a, x, start superscript, n, end superscript, right parenthesis, prime, equals, a, times, n, x, start superscript, n, minus, 1, end superscript

Fonctions racines n-ièmes

open bracket, root, start index, m, end index, close bracket, prime, equals, left parenthesis, x, start superscript, start superscript, start fraction, n, divided by, m, end fraction, end superscript, end superscript, right parenthesis, prime, equals, start fraction, n, divided by, m, end fraction, x, start superscript, start superscript, start fraction, n, divided by, m, end fraction, minus, 1, end superscript, end superscript

Fonctions trigonométriques

open bracket, sine, left parenthesis, x, right parenthesis, close bracket, prime, equals, cosine, left parenthesis, x, right parenthesis
open bracket, cosine, left parenthesis, x, right parenthesis, close bracket, prime, equals, minus, sine, left parenthesis, x, right parenthesis
open bracket, tangent, left parenthesis, x, right parenthesis, close bracket, prime, equals, \sec, squared, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, cosine, squared, left parenthesis, x, right parenthesis, end fraction
open bracket, cotangent, left parenthesis, x, right parenthesis, close bracket, prime, equals, minus, \csc, squared, left parenthesis, x, right parenthesis, equals, minus, start fraction, 1, divided by, sine, squared, left parenthesis, x, right parenthesis, end fraction
open bracket, \sec, left parenthesis, x, right parenthesis, close bracket, prime, equals, \sec, left parenthesis, x, right parenthesis, tangent, left parenthesis, x, right parenthesis, equals, start fraction, sine, left parenthesis, x, right parenthesis, divided by, cosine, squared, left parenthesis, x, right parenthesis, end fraction
open bracket, \csc, left parenthesis, x, right parenthesis, close bracket, prime, equals, minus, \csc, left parenthesis, x, right parenthesis, cotangent, left parenthesis, x, right parenthesis, equals, minus, start fraction, cosine, left parenthesis, x, right parenthesis, divided by, sine, squared, left parenthesis, x, right parenthesis, end fraction

Fonctions exponentielles

open bracket, left parenthesis, e, start superscript, x, end superscript, right parenthesis, close bracket, prime, equals, e, start superscript, x, end superscript
open bracket, left parenthesis, a, start superscript, x, end superscript, right parenthesis, close bracket, prime, equals, natural log, left parenthesis, a, right parenthesis, times, a, start superscript, x, end superscript

Fonctions logarithmes

open bracket, natural log, left parenthesis, x, right parenthesis, close bracket, prime, equals, start fraction, 1, divided by, x, end fraction\operatorname{}
open bracket, log, start base, b, end base, left parenthesis, x, right parenthesis, close bracket, prime, equals, start fraction, 1, divided by, natural log, left parenthesis, b, right parenthesis, x, end fraction

Fonctions trigonométriques réciproques

open bracket, \arcsin, left parenthesis, x, right parenthesis, close bracket, prime, equals, start fraction, 1, divided by, square root of, 1, minus, x, squared, end square root, end fraction
open bracket, \arccos, left parenthesis, x, right parenthesis, close bracket, prime, equals, minus, start fraction, 1, divided by, square root of, 1, minus, x, squared, end square root, end fraction
open bracket, \arctan, left parenthesis, x, right parenthesis, close bracket, prime, equals, start fraction, 1, divided by, 1, plus, x, squared, end fraction

Vous souhaitez rejoindre la discussion ?

Pas encore de posts.
Vous comprenez l'anglais ? Cliquez ici pour participer à d'autres discussions sur Khan Academy en anglais.