// Numbas version: finer_feedback_settings
{"name": "SEIS D Derivada de funciones exponenciales", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["c", "p"], "name": "SEIS D Derivada de funciones exponenciales", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>$y=e^x+\\var{c[4]}x^2+\\var{c[5]}x+\\var{c[6]}$</p>\n<p>$\\frac{dy}{dx}=$&nbsp;[[0]]</p>\n<p><code>Ejemplo de respuesta: si la respuesta es </code>$e^{2x}$, <code>digite e^(2x)&nbsp;en la barra de respuesta.</code></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": ["e", "x"], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "e^x+2{c[4]}x+{c[5]}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$y=\\var{c[1]}e^{\\var{p[1]}x}$</p>\n<p>$\\frac{dy}{dx}=$&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": ["e", "x"], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "({c[1]}*{p[1]})*e^({p[1]}x)", "marks": "2", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$y=\\var{c[2]}e^{\\var{p[2]}x}+\\sin(x)$</p>\n<p>$\\frac{dy}{dx}=$&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": ["e", "x"], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "({c[2]}*{p[2]})*e^({p[2]}x)+cos(x)", "marks": "2", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>$y=-\\var{c[4]}\\tan(x)+\\var{c[3]}e^{\\var{p[3]}x}-\\cos(x)$</p>\n<p>$\\frac{dy}{dx}=$&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": ["e", "x"], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "-{c[4]}sec^2(x)+({c[3]}*{p[3]})*e^({p[3]}x)+sin(x)", "marks": "2", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>Calcular la derivada de las siguientes funciones.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"p": {"definition": "repeat(random(2..4),5)", "templateType": "anything", "group": "Ungrouped variables", "name": "p", "description": ""}, "c": {"definition": "repeat(random(2..8),7)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}}, "metadata": {"description": "<p><span class=\"mn\" id=\"MathJax-Span-37\">$2</span><span class=\"msubsup\" id=\"MathJax-Span-38\"><span class=\"mi\" id=\"MathJax-Span-39\">e^{x^3}</span></span><span class=\"mo\" id=\"MathJax-Span-45\">+x^2</span><span class=\"msubsup\" id=\"MathJax-Span-47\"><span class=\"mi\" id=\"MathJax-Span-48\">$</span></span></p>\n<p><span class=\"msubsup\"><span class=\"mi\"><span class=\"mn\" id=\"MathJax-Span-37\">$2</span><span class=\"msubsup\" id=\"MathJax-Span-38\"><span class=\"mi\" id=\"MathJax-Span-39\">e^{x^3}</span></span><span class=\"mo\" id=\"MathJax-Span-45\">+sin{x}</span><span class=\"msubsup\" id=\"MathJax-Span-47\"><span class=\"mi\" id=\"MathJax-Span-48\">$</span></span></span></span></p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "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/"}]}