// Numbas version: exam_results_page_options
{"name": "Sheet 2 Q5 - product rule with custom feedback", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Sheet 2 Q5 - product rule with custom feedback", "tags": [], "metadata": {"description": "Product rule question with feedback given for anticipated student errors.", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>Differentiate $f(x)=2xe^{6x}$.</p>", "advice": "", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "<p>$f'(x)=$ [[0]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "malrules:\n  [\n    [\"12*e^(6x)\", \"Note that the function you need to differentiate is $2x \\\\times e^{6x}$ i.e. one function of $x$ multiplied by another function of $x$. Therefore, you need the product rule.\"],\n    [\"2*e^(6x)+2x*e^(6x)\", \"Almost there! What is the extra step you need when differentiating $e^{6x}$ (where the power is more than just $x$)?\"],\n    [\"2*e^(6x)+12x*e^(6x-1)\", \"The power rule is only valid for a variable to the power of a number (e.g. $x^6$). Therefore, you cannot use the power rule for $e^{6x}$ (since the variable is in the power).\"],\n    [\"2*e^(6x)+12x^2*e^(6x-1)\", \"The power rule is only valid for a variable to the power of a number (e.g. $x^6$). Therefore, you cannot use the power rule for $e^{6x}$ (since the variable is in the power).\"],\n    [\"2*e^(6x)+12x*e^(5x)\", \"The power rule is only valid for a variable to the power of a number (e.g. $x^6$). Therefore, you cannot use the power rule for $e^{6x}$ (since the variable is in the power).\"],\n    [\"2*e^(6x)+12x^2*e^(5x)\", \"The power rule is only valid for a variable to the power of a number (e.g. $x^6$). Therefore, you cannot use the power rule for $e^{6x}$ (since the variable is in the power).\"],\n    [\"2e^(6x)+12x*e^x\", \"Remember, the power on the exponential never changes when you differentiate it!\"]\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(numericallyCorrect);\n    apply(malrule_feedback);\n    apply(failMinLength);\n    apply(failMaxLength);\n    apply(forbiddenStringsPenalty);\n    apply(requiredStringsPenalty)", "extendBaseMarkingAlgorithm": true, "unitTests": [], "answer": "12x*e^(6x)+2e^(6x)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}], "sortAnswers": false}], "contributors": [{"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}]}]}], "contributors": [{"name": "Clodagh Carroll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/384/"}]}