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$\\dfrac{d}{dx}\\left [ \\simplify{({ac[0]}/{d[0]})x^3+({bc[0]}/{d[1]})x^2+({cc[0]}/{d[2]})x+({dc[0]}/{d[3]})}\\right ]$=[[0]]
\nEjemplo de respuesta: si la respuesta es
$-7x^5+7x^3-8x$, digite $-7x^5+7x^3-8x en la barra de respuesta.
$\\dfrac{d}{dx}\\left [\\simplify{({ac[1]}/{d[4]})x^3+({bc[1]}/{d[5]})x^2+({cc[1]}/{d[6]})x+({dc[1]}/{d[7]})}\\right ]$=[[0]]
", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "3{ac[1]}/{d[4]}x^2+2{bc[1]}/{d[5]}x+{cc[1]}/{d[6]}", "marks": "25", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "$\\dfrac{d}{dx}\\left [\\simplify{({ac[2]}/{d[8]})x^3+({bc[2]}/{d[9]})x^2+({cc[2]}/{d[10]})x+({dc[2]}/{d[11]})}\\right ]$=[[0]]
", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "3{ac[2]}/{d[8]}x^2+2{bc[2]}/{d[9]}x+{cc[2]}/{d[10]}", "marks": "25", "checkvariablenames": false, "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": {"cc": {"definition": "repeat(random(-15..15),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "cc", "description": ""}, "ac": {"definition": "repeat(random(-3..3),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "ac", "description": ""}, "d": {"definition": "repeat(random(1..9),12)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "dc": {"definition": "repeat(random(-30..30),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "dc", "description": ""}, "bc": {"definition": "repeat(random(-10..10),3)", "templateType": "anything", "group": "Ungrouped variables", "name": "bc", "description": ""}}, "metadata": {"description": "More work on differentiation with fractional coefficients
", "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/"}]}