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{"name": "My First Exam", "metadata": {"description": "<p>This really is my first exam.</p>", "licence": "All rights reserved"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", ""], "questions": [{"name": "Power rule", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Emil Kostadinov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10391/"}], "tags": [], "metadata": {"description": "<p>Application of the power rule for differentiation for a positive integer power.</p>", "licence": "All rights reserved"}, "statement": "<p>Given the function</p>\n<p>\\[f(x)=\\var{a}x^\\var{b}\\]</p>\n<p>find \\(f'(x)\\)</p>", "advice": "<p>In general, given \\(f(x)=ax^b\\) by the product rule \\(f'(x)=abx^b\\)</p>\n<p>In particular, given \\(f(x)=\\var{a}x^\\var{b}\\), it follows that \\[f'(x)=\\var{b}\\times\\var{a}x^\\var{b-1}=\\var{a*b}x^\\var{b-1}\\]</p>", "rulesets": {}, "variables": {"a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2 .. 10#1)", "description": "", "templateType": "randrange"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2 .. 10#1)", "description": "", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{a}*{b}*x^{b-1}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Given a quantity per day, how many per week?", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Emil Kostadinov", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/10391/"}], "tags": [], "metadata": {"description": "<p>This is my first question.</p>", "licence": "All rights reserved"}, "statement": "<p>Chris eats {num_apples} apples per day.</p>", "advice": "<p>Each day, Chris eats {num_apples} apples. 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