Quiz — 15primitive.pdf

Question 1 sur 10 20:00

[{"id":98332,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. x³ + C\", \"b\": \"B. x³\", \"c\": \"C. 6x + C\", \"d\": \"D. x² + C\"}}","_debug_options_count":4},{"id":98333,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":98334,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. ln(x) + C\", \"b\": \"B. 1\/x² + C\", \"c\": \"C. x + C\", \"d\": \"D. -1\/","_debug_options_count":4},{"id":98335,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":98336,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. x⁵ + C\", \"b\": \"B. 20x³ + C\", \"c\": \"C. x⁴ + C\", \"d\": \"D. 5","_debug_options_count":4},{"id":98337,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":98338,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. x² + x + C\", \"b\": \"B. 2x² + x + C\", \"c\": \"C. x² + 1 + C\", \"","_debug_options_count":4},{"id":98339,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":98340,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"A. x⁴ + C\", \"b\": \"B. 12x² + C\", \"c\": \"C. 4x⁴\/4 + C\", \"d\": \"D","_debug_options_count":4},{"id":98341,"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,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]