// Numbas version: exam_results_page_options {"name": "SEIS A 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 A Derivada de funciones exponenciales", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "
$y=\\var{c[0]}e^{x^\\var{p[0]}+1}$
\n$\\frac{dy}{dx}=$ [[0]]
\nEjemplo de respuesta: si la respuesta es
$e^{2x}$, digite e^(2x) en la barra de respuesta.
$y=\\var{c[2]}e^{x^\\var{p[2]}}+\\var{c[3]}e^x$
\n$\\frac{dy}{dx}=$ [[0]]
", "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]}*x^({p[2]}-1))*e^(x^{p[2]})+{c[3]}e^x", "marks": "17", "checkvariablenames": true, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "Calcular la derivada de las siguientes funciones.
", "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),5)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}}, "metadata": {"description": "$2e^{x^3}+4e^x$
", "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/"}]}