Quiz : Testez vos connaissances sur les primitives en mathématiques

Question 1 sur 10 10:00

[{"id":47861,"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":47862,"question":"La primitive de e^x est toujours 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, donc sa primitive est e^x + C.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47863,"question":"Quelle est la primitive de la fonction f(x) = 1\/x ?","option_a":"A. ln(x) + C","option_b":"B. 1\/x² + C","option_c":"C. 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, car la dérivée de ln(x) est 1\/x.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47864,"question":"La primitive de sin(x) est cos(x) + C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"B","explication":"Faux, la primitive de sin(x) est -cos(x) + C, car la dérivée de -cos(x) est sin(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47865,"question":"Quelle est la primitive de la fonction f(x) = 5x⁴ ?","option_a":"A. x⁵ + C","option_b":"B. 20x³ + C","option_c":"C. x⁴ + C","option_d":"D. 5x⁵\/5 + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 5x⁴ est x⁵ + C, car la dérivée de x⁵ est 5x⁴.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47866,"question":"La primitive de 0 est une constante C.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"A","explication":"Vrai, car la dérivée d'une constante C est 0.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47867,"question":"Quelle est la primitive de la fonction f(x) = 2x + 1 ?","option_a":"A. x² + x + C","option_b":"B. 2x² + x + C","option_c":"C. x² + 1 + C","option_d":"D. 2x + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 2x + 1 est x² + x + C, car la dérivée de x² + x est 2x + 1.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47868,"question":"La primitive de cos(x) est sin(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 sin(x) est cos(x).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47869,"question":"Quelle est la primitive de la fonction f(x) = 4x³ ?","option_a":"A. x⁴ + C","option_b":"B. 12x² + C","option_c":"C. 4x⁴\/4 + C","option_d":"D. x³ + C","option_e":"","option_f":"","bonne_reponse":"A","explication":"La primitive de 4x³ est x⁴ + C, car la dérivée de x⁴ est 4x³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":47870,"question":"La primitive de a (constante) est a*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 a*x est a.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]