// Numbas version: exam_results_page_options
{"name": "Katy's copy of Kamila's copy of Power rule 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"type": "gapfill", "unitTests": [], "variableReplacements": [], "showCorrectAnswer": true, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "scripts": {}, "sortAnswers": false, "gaps": [{"unitTests": [], "type": "jme", "answer": "{a1}*{a2}*x^{{a2}-1}+{b1}*{b2}*x^{{b2}-1}", "variableReplacements": [], "scripts": {}, "extendBaseMarkingAlgorithm": true, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "checkingType": "absdiff", "vsetRangePoints": 5, "showFeedbackIcon": true, "vsetRange": [0, 1], "checkVariableNames": false, "failureRate": 1, "marks": 1, "customMarkingAlgorithm": "", "expectedVariableNames": [], "showPreview": true, "checkingAccuracy": 0.001}], "marks": 0, "customMarkingAlgorithm": "", "showFeedbackIcon": true, "prompt": "<p>\\(\\frac{dy}{dx}=\\)&nbsp;[[0]]</p>"}], "functions": {}, "rulesets": {}, "ungrouped_variables": ["a1", "a2", "b1", "b2", "c1"], "name": "Katy's copy of Kamila's copy of Power rule 1", "advice": "<p>Apply&nbsp;the rule:</p>\n<p style=\"padding-left: 30px;\">\\(y=ax^n\\,\\,\\,then\\,\\,\\,\\frac{dy}{dx}=nax^{n-1}\\)</p>\n<p>In this example</p>\n<p style=\"padding-left: 30px;\">\\(y=\\var{a1}x^{\\var{a2}}+\\var{b1}x^{\\var{b2}}+\\var{c1}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\frac{dy}{dx}=\\var{a2}*\\var{a1}x^{\\var{a2}-1}+\\var{b2}*\\var{b1}x^{\\var{b2}-1}\\)</p>\n<p style=\"padding-left: 30px;\">\\(\\frac{dy}{dx}=\\simplify{{a2}*{a1}x^{{a2}-1}+{b2}*{b1}x^{{b2}-1}}\\)</p>", "variables": {"a1": {"definition": "random(2..10#1)", "templateType": "randrange", "name": "a1", "group": "Ungrouped variables", "description": ""}, "a2": {"definition": "random(5..12#1)", "templateType": "randrange", "name": "a2", "group": "Ungrouped variables", "description": ""}, "b2": {"definition": "random(1..5#1)", "templateType": "randrange", "name": "b2", "group": "Ungrouped variables", "description": ""}, "b1": {"definition": "random(2..14#1)", "templateType": "randrange", "name": "b1", "group": "Ungrouped variables", "description": ""}, "c1": {"definition": "random(3..18#1)", "templateType": "randrange", "name": "c1", "group": "Ungrouped variables", "description": ""}}, "tags": [], "statement": "<p>Differentiate the following:</p>\n<p style=\"padding-left: 30px;\">\\(y=\\var{a1}x^{\\var{a2}}+\\var{b1}x^{\\var{b2}}+\\var{c1}\\)</p>", "variable_groups": [], "preamble": {"css": "", "js": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Power rule</p>"}, "extensions": [], "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/"}, {"name": "Kamila Yusufu", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2554/"}]}]}], "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/"}, {"name": "Kamila Yusufu", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2554/"}]}