// Numbas version: exam_results_page_options
{"name": "Deirdre's copy of T6Q1 (custom feedback)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Deirdre's copy of T6Q1 (custom feedback)", "preamble": {"js": "", "css": ""}, "variable_groups": [], "variables": {}, "statement": "<p>Let $z=3xy+x^2-2y^3$. Find the partial derivatives:</p>", "parts": [{"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "marks": 0, "scripts": {}, "type": "gapfill", "gaps": [{"vsetRangePoints": 5, "customMarkingAlgorithm": "malrules:\n  [\n    [\"3y+3x+2x-6y^2\", \"The product rule is not needed to differentiate $3xy$. Remember, when partially differentiating with respect to $x$, treat $y$ as a number. This also goes for the last term: $2y^3$ is just treated as a number.\"],\n    [\"(-3y-2x)/(3x-6y^2)\", \"It looks like you have used implicit differentiation rather than partial differentiation. Implicit differentiation is only used if you wish to find $\\\\frac{dy}{dx}$, not if you wish to find $\\\\frac{\\\\partial y}{\\\\partial x}$ or $\\\\frac{\\\\partial z}{\\\\partial x}$ etc.\"]\n    ]\n\n\nparsed_malrules: \n    map(\n        [\"expr\":parse(x[0]),\"feedback\":x[1]],\n        x,\n        malrules\n    )\n\nagree_malrules (Do the student's answer and the expected answer agree on each of the sets of variable values?):\n    map(\n        len(filter(not x ,x,map(\n            try(\n                resultsEqual(unset(question_definitions,eval(studentexpr,vars)),unset(question_definitions,eval(malrule[\"expr\"],vars)),settings[\"checkingType\"],settings[\"checkingAccuracy\"]),\n                message,\n                false\n            ),\n            vars,\n            vset\n        )))<settings[\"failureRate\"],\n        malrule,\n        parsed_malrules\n    )\n\nmatched_malrules:\n  filter(x[0],x,zip(agree_malrules,parsed_malrules))\n  \nmalrule_feedback:\n    assert(numericallyCorrect,\n        assert(len(matched_malrules)=0,\n            set_credit(0,matched_malrules[0][1][\"feedback\"])\n        )\n    )\n\nmark:\n    apply(studentExpr);\n    apply(unexpectedVariables);\n    apply(sameVars);\n    apply(numericallyCorrect);\n    apply(malrule_feedback);\n    apply(failMinLength);\n    apply(failMaxLength);\n    apply(forbiddenStringsPenalty);\n    apply(requiredStringsPenalty) ", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "marks": 1, "scripts": {}, "expectedVariableNames": [], "answer": "3y+2x", "type": "jme", "showPreview": true, "vsetRange": [0, 1], "showCorrectAnswer": true, "failureRate": 1, "showFeedbackIcon": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "variableReplacements": [], "checkVariableNames": false}], "showCorrectAnswer": true, "showFeedbackIcon": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$\\frac{\\partial z}{\\partial x}$= [[0]]</p>"}, {"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "marks": 0, "scripts": {}, "type": "gapfill", "gaps": [{"vsetRangePoints": 5, "customMarkingAlgorithm": "malrules:\n  [\n    [\"3y+3x+2x-6y^2\", \"The product rule is not needed to differentiate $3xy$. Remember, when partially differentiating with respect to $y$, treat $x$ as a number. This also goes for the second term: $x^2$ is just treated as a number.\"],\n    [\"(-3y-2x)/(3x-6y^2)\", \"It looks like you have used implicit differentiation rather than partial differentiation. Implicit differentiation is only used if you wish to find $\\\\frac{dy}{dx}$, not if you wish to find $\\\\frac{\\\\partial y}{\\\\partial x}$ or $\\\\frac{\\\\partial z}{\\\\partial y}$ etc.\"]\n    ]\n\n\nparsed_malrules: \n    map(\n        [\"expr\":parse(x[0]),\"feedback\":x[1]],\n        x,\n        malrules\n    )\n\nagree_malrules (Do the student's answer and the expected answer agree on each of the sets of variable values?):\n    map(\n        len(filter(not x ,x,map(\n            try(\n                resultsEqual(unset(question_definitions,eval(studentexpr,vars)),unset(question_definitions,eval(malrule[\"expr\"],vars)),settings[\"checkingType\"],settings[\"checkingAccuracy\"]),\n                message,\n                false\n            ),\n            vars,\n            vset\n        )))<settings[\"failureRate\"],\n        malrule,\n        parsed_malrules\n    )\n\nmatched_malrules:\n  filter(x[0],x,zip(agree_malrules,parsed_malrules))\n  \nmalrule_feedback:\n    assert(numericallyCorrect,\n        assert(len(matched_malrules)=0,\n            set_credit(0,matched_malrules[0][1][\"feedback\"])\n        )\n    )\n\nmark:\n    apply(studentExpr);\n    apply(unexpectedVariables);\n    apply(sameVars);\n    apply(numericallyCorrect);\n    apply(malrule_feedback);\n    apply(failMinLength);\n    apply(failMaxLength);\n    apply(forbiddenStringsPenalty);\n    apply(requiredStringsPenalty) ", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "marks": 1, "scripts": {}, "expectedVariableNames": [], "answer": "3x-6y^2", "type": "jme", "showPreview": true, "vsetRange": [0, 1], "showCorrectAnswer": true, "failureRate": 1, "showFeedbackIcon": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "variableReplacements": [], "checkVariableNames": false}], "showCorrectAnswer": true, "showFeedbackIcon": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$\\frac{\\partial z}{\\partial y}$=[[0]]</p>"}, {"customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "sortAnswers": false, "marks": 0, "scripts": {}, "type": "gapfill", "gaps": [{"vsetRangePoints": 5, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "checkingType": "absdiff", "marks": 1, "scripts": {}, "expectedVariableNames": [], "answer": "2", "type": "jme", "showPreview": true, "vsetRange": [0, 1], "showCorrectAnswer": true, "failureRate": 1, "showFeedbackIcon": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "variableReplacements": [], "checkVariableNames": false}], "showCorrectAnswer": true, "showFeedbackIcon": true, "unitTests": [], "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$\\frac{\\partial^2 z}{\\partial x^2}$=[[0]]</p>"}], "metadata": {"licence": "Creative Commons Attribution-NonCommercial 4.0 International", "description": "<p>Partial differentiation question with customised feedback to catch some common errors.</p>"}, "variablesTest": {"condition": "", "maxRuns": 100}, "extensions": [], "tags": [], "ungrouped_variables": [], "rulesets": {}, "functions": {}, "advice": "", "type": "question", "contributors": [{"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}, {"name": "Deirdre Casey", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/681/"}]}]}], "contributors": [{"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}, {"name": "Deirdre Casey", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/681/"}]}