// Numbas version: exam_results_page_options {"name": "MATH6006 CA1 (2018/19) Inverse Trig 5 (Custom Marking)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "tags": [], "ungrouped_variables": [], "variable_groups": [], "advice": "", "metadata": {"description": "", "licence": "None specified"}, "rulesets": {}, "variables": {}, "parts": [{"variableReplacements": [], "showFeedbackIcon": true, "prompt": "

$y=\\cos^{-1} \\left( 5x \\right)$

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$\\frac{dy}{dx} = $ [[0]]

", "gaps": [{"variableReplacements": [], "vsetRange": [0, 1], "showFeedbackIcon": true, "answer": "-5/sqrt(1-25x^2)", "expectedVariableNames": [], "checkingType": "absdiff", "checkVariableNames": false, "checkingAccuracy": 0.001, "showCorrectAnswer": true, "type": "jme", "scripts": {}, "variableReplacementStrategy": "originalfirst", "showPreview": true, "failureRate": 1, "marks": "2", "customMarkingAlgorithm": "malrules:\n [\n [\"-1/sqrt(1-25x^2)\", \"Did you forget to use the chain rule?\"]\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 )))Find $\\frac{dy}{dx}$:

", "name": "MATH6006 CA1 (2018/19) Inverse Trig 5 (Custom Marking)", "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"css": "", "js": ""}, "extensions": [], "type": "question", "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/"}]}