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{"name": "Differentiation II - Question 8", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "tags": [], "name": "Differentiation II - Question 8", "extensions": [], "statement": "<p>Using the quotient rule, differentiate:</p>", "variables": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "metadata": {"licence": "All rights reserved", "description": "Quiz 2 - Differentiation II"}, "rulesets": {}, "parts": [{"vsetRange": [0, 1], "type": "jme", "unitTests": [], "showPreview": true, "variableReplacements": [], "valuegenerators": [{"name": "x", "value": ""}], "prompt": "<p>$y=\\frac{3x^5}{2x}$</p>\n<p>Factorize your answer.</p>", "showCorrectAnswer": true, "vsetRangePoints": 5, "variableReplacementStrategy": "originalfirst", "useCustomName": false, "customName": "", "marks": 1, "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "scripts": {}, "checkingType": "absdiff", "answer": "6x^3", "checkVariableNames": false, "showFeedbackIcon": true, "failureRate": 1, "adaptiveMarkingPenalty": 0, "extendBaseMarkingAlgorithm": true}], "advice": "<p>Use the quotient rule:</p>\n<p>$\\frac{d}{dx}(\\frac{u}{v})=\\frac{v\\times{u'}-u\\times{v'}}{v^2}$</p>", "functions": {}, "ungrouped_variables": [], "contributors": [{"name": "Lubomira Tosheva", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3619/"}]}]}], "contributors": [{"name": "Lubomira Tosheva", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3619/"}]}