Quiz : Testez vos connaissances sur les primitives !

Question 1 sur 10 10:00

[{"id":76582,"question":"Quelle est la primitive de la fonction f(x) = 3x² ?","option_a":"A. x³ + C","option_b":"B. x³","option_c":"C. 6x + C","option_d":"D. x² + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 3x² est x³ + C, car la dérivée de x³ est 3x².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76583,"question":"La primitive de e^x est-elle e^x + C ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de e^x est e^x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76584,"question":"Quelle est la primitive de f(x) = 1\/x ?","option_a":"A. ln|x| + C","option_b":"B. x²\/2 + C","option_c":"C. e^x + C","option_d":"D. 1\/x² + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 1\/x est ln|x| + C, pour x ≠ 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76585,"question":"La primitive de sin(x) est-elle -cos(x) + C ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de -cos(x) est sin(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76586,"question":"Quelle est la primitive de f(x) = 5 ?","option_a":"A. 5x + C","option_b":"B. x + C","option_c":"C. 5x²\/2 + C","option_d":"D. 5x² + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 5 est 5x + C, car la dérivée de 5x est 5.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76587,"question":"La primitive d'une fonction constante est-elle une fonction linéaire ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Faux, la primitive d'une fonction constante f(x) = k est kx + C, qui est une fonction linéaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76588,"question":"Quelle est la primitive de f(x) = cos(x) ?","option_a":"A. sin(x) + C","option_b":"B. -sin(x) + C","option_c":"C. cos(x) + C","option_d":"D. -cos(x) + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de cos(x) est sin(x) + C, car la dérivée de sin(x) est cos(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76589,"question":"La primitive de x^(-1) est-elle définie en x = 0 ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Faux, car la fonction 1\/x n'est pas définie en x = 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76590,"question":"Quelle est la primitive de f(x) = 2x + 3 ?","option_a":"A. x² + 3x + C","option_b":"B. x² + C","option_c":"C. 2x² + 3x + C","option_d":"D. x² + 3 + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 2x + 3 est x² + 3x + C, car la dérivée de x² + 3x est 2x + 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":76591,"question":"La primitive de e^(2x) est-elle (1\/2)e^(2x) + C ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée de (1\/2)e^(2x) est e^(2x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]