// Numbas version: exam_results_page_options
{"name": "Katy's copy of Power rule 2", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Katy's copy of Power rule 2", "metadata": {"description": "<p>Power rule</p>", "licence": "Creative Commons Attribution 4.0 International"}, "advice": "<p>\\(y=\\frac{\\var{a1}}{x^{\\var{a2}}}+\\sqrt[\\var{a3}]{x}\\)</p>\n<p>\\(y=\\var{a1}x^{-\\var{a2}}+{x}^{\\frac{1}{\\var{a3}}}\\)</p>\n<p>\\(\\frac{dy}{dx}=-\\var{a2}*\\var{a1}x^{-\\var{a2}-1}+\\frac{1}{\\var{a3}}{x}^{\\frac{1}{\\var{a3}}-1}\\)</p>\n<p>\\(\\frac{dy}{dx}=-\\simplify{{a2}*{a1}x^{-{a2}-1}}+\\frac{1}{\\var{a3}}{x}^{\\simplify{{1-{a3}}/{a3}}}\\)</p>\n<p></p>", "tags": [], "parts": [{"extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "gapfill", "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "marks": 0, "variableReplacements": [], "showFeedbackIcon": true, "scripts": {}, "prompt": "<p>\\(\\frac{dy}{dx}=\\)&nbsp;[[0]]</p>", "gaps": [{"extendBaseMarkingAlgorithm": true, "customMarkingAlgorithm": "", "type": "jme", "showPreview": true, "failureRate": 1, "showCorrectAnswer": true, "variableReplacementStrategy": "originalfirst", "expectedVariableNames": [], "marks": 1, "variableReplacements": [], "showFeedbackIcon": true, "scripts": {}, "checkVariableNames": false, "checkingType": "absdiff", "vsetRangePoints": 5, "answer": "-{a1}*{a2}/x^{{a2}+1}+(1/{a3})x^{1/{a3}-1}", "checkingAccuracy": 0.001, "vsetRange": [0, 1], "unitTests": []}], "sortAnswers": false, "unitTests": []}], "statement": "<p>Differentiate the following:</p>\n<p style=\"padding-left: 30px;\">\\(y=\\frac{\\var{a1}}{x^{\\var{a2}}}+\\sqrt[\\var{a3}]{x}\\)</p>", "variables": {"a3": {"description": "", "name": "a3", "group": "Ungrouped variables", "definition": "random(3..6#1)", "templateType": "randrange"}, "a1": {"description": "", "name": "a1", "group": "Ungrouped variables", "definition": "random(6..18#1)", "templateType": "randrange"}, "a2": {"description": "", "name": "a2", "group": "Ungrouped variables", "definition": "random(2..8#1)", "templateType": "randrange"}}, "variable_groups": [], "preamble": {"js": "", "css": ""}, "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "extensions": [], "ungrouped_variables": ["a1", "a2", "a3"], "rulesets": {}, "type": "question", "contributors": [{"name": "Frank Doheny", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/789/"}, {"name": "Katy Dobson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/854/"}]}]}], "contributors": [{"name": "Frank Doheny", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/789/"}, {"name": "Katy Dobson", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/854/"}]}