// Numbas version: exam_results_page_options
{"name": "OCHO DOS Derivadas valor de f'", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "c", "b", "r1", "r2", "mn", "d", "lg2", "lg1", "type1", "mx", "type2", "f1", "f2"], "name": "OCHO DOS Derivadas valor de f'", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {"std": ["all", "fractionNumbers", "!noLeadingMinus", "!collectNumbers"]}, "parts": [{"prompt": "<p><code>Ejemplo de respuesta: si la respuesta es</code> $-7x^5+7x^3-8x$, <code>digite $-7x^5+7x^3-8x en la barra de respuesta.</code></p>\n<p>$f(x)=\\simplify[all,!collectNumbers,!noleadingminus]{{a}x^3+{b}x^2+{c}x+{d}}$</p>\n<p>$f'(x)=$&nbsp;[[2]]</p>\n<p>$f''(x)=$&nbsp;[[3]]</p>\n<p></p>\n<p>Resolver la ecuaci&oacute;n&nbsp;$f'(x)=0$, para determinar los valores de $x$ buscados:</p>\n<p>Valor de $x$ donde hay un m&aacute;ximo $=$&nbsp;[[0]]</p>\n<p>Valor de $x$&nbsp;donde hay un m&iacute;nimo $=$&nbsp;[[1]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{mx*r2}+{(1-mx)}*{(r1)}/{(3*a)}", "marks": "20", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{mn*r2}+{(1-mn)}*{(r1)}/{(3*a)}", "marks": "20", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "3{a}x^2+2{b}x+{c}", "marks": "15", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "6{a}x+2{b}", "marks": "15", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Determinar los valores de $x$ donde la funci&oacute;n es m&aacute;xima o m&iacute;nima.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(-2..2 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "f1": {"definition": "(-(2{b})-sqrt((2{b})^2-4(3{a}){c}))/(6{a})", "templateType": "anything", "group": "Ungrouped variables", "name": "f1", "description": ""}, "c": {"definition": "r1*r2", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "round(-(3*a*r2+r1)/2)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "r1": {"definition": "random(-4..4#2 except 0)-3*a*r2", "templateType": "anything", "group": "Ungrouped variables", "name": "r1", "description": ""}, "r2": {"definition": "random(-6..6 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "r2", "description": ""}, "mn": {"definition": "if(3a*r2+b<0,1,0)", "templateType": "anything", "group": "Ungrouped variables", "name": "mn", "description": ""}, "f2": {"definition": "(-(2{b})+sqrt((2{b})^2-4(3{a}){c}))/(6{a})", "templateType": "anything", "group": "Ungrouped variables", "name": "f2", "description": ""}, "type2": {"definition": "if(mx=1, 'maximum','minimum')", "templateType": "anything", "group": "Ungrouped variables", "name": "type2", "description": ""}, "lg2": {"definition": "if(mx=0,'$\\\\gt$','$\\\\lt$')", "templateType": "anything", "group": "Ungrouped variables", "name": "lg2", "description": ""}, "lg1": {"definition": "if(mx=0,'$\\\\lt$','$\\\\gt$')", "templateType": "anything", "group": "Ungrouped variables", "name": "lg1", "description": ""}, "type1": {"definition": "if(mx=0, 'maximum','minimum')", "templateType": "anything", "group": "Ungrouped variables", "name": "type1", "description": ""}, "mx": {"definition": "if(3a*r2+b<0,0,1)", "templateType": "anything", "group": "Ungrouped variables", "name": "mx", "description": ""}, "d": {"definition": "random(-10..10)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}}, "metadata": {"description": "<p>Finding the stationary points of a cubic with two turning points</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}]}], "contributors": [{"name": "Marlon Arcila", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/321/"}]}