// Numbas version: exam_results_page_options
{"name": "Harry's copy of Lois's copy of Basic differentiation 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"description": "<p>A question to test basic&nbsp;differentiation of functions, including powers of x, trig, log and exponential functions.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "preamble": {"js": "", "css": ""}, "rulesets": {}, "name": "Harry's copy of Lois's copy of Basic differentiation 1", "ungrouped_variables": ["a", "c", "b", "d"], "advice": "<p>This&nbsp;<a href=\"http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-table1-2009-1.pdf\">leaflet</a> from Mathcentre will remind you of the rules for differentiating these functions.</p>\n<p></p>", "variables": {"c": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..9)", "name": "c"}, "a": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..5)//Use as a power", "name": "a"}, "d": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(-5..5 except -1..1)", "name": "d"}, "b": {"description": "", "group": "Ungrouped variables", "templateType": "anything", "definition": "random(2..6)", "name": "b"}}, "functions": {}, "variablesTest": {"maxRuns": "100000", "condition": "d=2"}, "extensions": [], "statement": "<p>Differentiate the&nbsp;following functions with respect to $x$, simplifying your answers where possible.</p>", "variable_groups": [], "tags": [], "parts": [{"vsetrange": [0, 1], "showCorrectAnswer": true, "showpreview": true, "checkvariablenames": false, "answer": "{a}x^{a-1}-{b}cos({b}x)", "checkingtype": "absdiff", "variableReplacements": [], "prompt": "<p>$x^\\var{a}-\\sin(\\var{b}x)$</p>", "showFeedbackIcon": true, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "type": "jme", "expectedvariablenames": []}, {"vsetrange": [0, 1], "showCorrectAnswer": true, "showpreview": true, "checkvariablenames": false, "answer": "-{a}{b}e^(-{b}x)-{c}/x^2", "checkingtype": "absdiff", "variableReplacements": [], "prompt": "<p>$\\var{a}e^{-\\var{b}x}+\\frac{\\var{c}}{x}$</p>", "showFeedbackIcon": true, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "type": "jme", "expectedvariablenames": []}, {"vsetrange": [0, 1], "showCorrectAnswer": true, "showpreview": true, "checkvariablenames": false, "answer": "{d}/x+{a}sin(x/{b})", "checkingtype": "absdiff", "variableReplacements": [], "prompt": "<p>$\\var{d}\\ln(\\var{c}x)-\\var{a*b}\\cos(x/\\var{b})$</p>", "showFeedbackIcon": true, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "type": "jme", "expectedvariablenames": []}, {"vsetrange": [0, 1], "showCorrectAnswer": true, "showpreview": true, "checkvariablenames": false, "answer": "{a}/(2sqrt(x))-{c}{d}e^({d}x)", "checkingtype": "absdiff", "variableReplacements": [], "prompt": "<p>$\\var{a}\\sqrt{x}-\\var{c}e^{\\var{d}x}$</p>", "showFeedbackIcon": true, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "type": "jme", "expectedvariablenames": []}, {"vsetrange": [0, 1], "showCorrectAnswer": true, "showpreview": true, "checkvariablenames": false, "answer": "2{b}/x^3", "checkingtype": "absdiff", "variableReplacements": [], "prompt": "<p>$\\var{d}-\\frac{\\var{b}}{x^2}$</p>", "showFeedbackIcon": true, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "type": "jme", "expectedvariablenames": []}, {"vsetrange": [0, 1], "showCorrectAnswer": true, "showpreview": true, "checkvariablenames": false, "answer": "{c}*{d}cos({c}/10*x)+{b}", "checkingtype": "absdiff", "variableReplacements": [], "prompt": "<p>$\\var{10*d}\\sin(\\var{c/10}x)+\\var{b}x$</p>", "showFeedbackIcon": true, "scripts": {}, "checkingaccuracy": 0.001, "marks": 1, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "type": "jme", "expectedvariablenames": []}], "type": "question", "contributors": [{"name": "Harry Flynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/976/"}]}]}], "contributors": [{"name": "Harry Flynn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/976/"}]}