// Numbas version: exam_results_page_options
{"name": "Standard Differentiation", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "name": "Standard Differentiation", "parts": [{"steps": [{"customMarkingAlgorithm": "", "variableReplacementStrategy": "originalfirst", "unitTests": [], "type": "information", "variableReplacements": [], "marks": 0, "extendBaseMarkingAlgorithm": true, "prompt": "<p>The standard rule for differentiation of polynomial expressions is</p>\n<p>\\[f(x) = ax^n\\]<br/>\\[\\frac{d(f(x))}{dx}=anx^{n-1}\\]</p>", "showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}}], "sortAnswers": false, "prompt": "<p>$\\displaystyle \\simplify[std]{f(x) = {a}x ^ {m} }$</p>\n<p>$\\displaystyle \\frac{df}{dx}=\\;$[[0]]</p>\n<p>Clicking on Show steps gives you more information, you will not lose any marks by doing so.</p>", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}, "stepsPenalty": 0, "marks": 0, "variableReplacementStrategy": "originalfirst", "type": "gapfill", "gaps": [{"answer": "{a*m}x ^ {m-1} ", "answerSimplification": "std", "showPreview": true, "vsetRangePoints": 5, "checkingType": "absdiff", "unitTests": [], "showFeedbackIcon": true, "showCorrectAnswer": true, "scripts": {}, "marks": "2", "variableReplacementStrategy": "originalfirst", "expectedVariableNames": [], "type": "jme", "checkingAccuracy": 0.001, "customMarkingAlgorithm": "", "failureRate": 1, "extendBaseMarkingAlgorithm": true, "vsetRange": [0, 1], "variableReplacements": [], "checkVariableNames": false}], "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "variableReplacements": []}], "variablesTest": {"maxRuns": 100, "condition": ""}, "extensions": [], "functions": {}, "advice": "<p>The standard rule for differentiation of polynomial expressions is</p>\n<p>\\[f(x) = ax^n\\]<br/>\\[\\frac{d(f(x))}{dx}=anx^{n-1}\\]</p>\n<p>For this example...</p>", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers"], "surdf": [{"result": "(sqrt(b)*a)/b", "pattern": "a/sqrt(b)"}]}, "metadata": {"description": "<p>Differentiate $f(x) = ax^m$.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Differentiate the following function $f(x)$ using the&nbsp;standard rule.</p>", "variables": {"m": {"templateType": "anything", "description": "", "definition": "random(1..9)", "name": "m", "group": "Ungrouped variables"}, "a": {"templateType": "anything", "description": "", "definition": "random(1..9)", "name": "a", "group": "Ungrouped variables"}}, "preamble": {"js": "", "css": ""}, "tags": [], "ungrouped_variables": ["a", "m"], "type": "question", "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}, {"name": "Johnny Yi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2810/"}]}]}], "contributors": [{"name": "Adrian Jannetta", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/164/"}, {"name": "Heather Driscoll", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1703/"}, {"name": "Johnny Yi", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2810/"}]}