// Numbas version: exam_results_page_options {"name": "Sheet 2 Q3 - differentiation by 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 Q3 - differentiation by rule with custom feedback", "tags": [], "metadata": {"description": "Differentiation by rule question with feedback given for anticipated student errors.", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Find $f'(x)$ if $f(x)=3x+3\\sin x +3e^x$.

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$f'(x) = $ [[0]]

", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "1", "scripts": {}, "customMarkingAlgorithm": "malrules:\n [\n [\"3+3*cos(x)+3x*e^(x-1)\", \"Be careful when you are differentiating $e^x$. You cannot use the power rule for this. The power rule is only used if you have a variable to the power of a number (e.g. $x^3$). Here, we have $e^x$ i.e. a number ($e$) to the power of a variable ($x$).\"],\n [\"3-3*cos(x)+3x*e^(x-1)\", \"There are two things to watch here. Firstly, check that you have correctly differentiated $\\\\sin(\\\\cdot)$. Secondly, be careful when you are differentiating $e^x$. You cannot use the power rule for this. The power rule is only used if you have a variable to the power of a number (e.g. $x^3$). Here, we have $e^x$ i.e. a number ($e$) to the power of a variable ($x$).\"],\n [\"3-3*cos(x)+3e^x\", \"Almost there. Check that you have correctly differentiated $\\\\sin(\\\\cdot)$.\"]\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 )))