// Numbas version: exam_results_page_options
{"name": "Mystery derivatives", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": ["geogebra"], "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p><strong>Given</strong> a set of curves on axes,&nbsp;generated from a function and its first two derivatives, <strong>identify</strong> which curve corresponds to which derivative.</p>"}, "statement": "<!--<p>BUGCHECK: $b = \\var{b}$, $c = \\var{c}$, $d = \\var{d}$, $e = \\var{g}$, $f = \\var{f}$, $s = \\var{selector}$, $l = \\var{linesText}$.</p>-->\n<p>The following graph (which may take a little while to load) shows three curves: a solid line, a dashed line and a dotted line. These curves represent&nbsp;a function and its derivatives; if we call the function&nbsp;$f$, then one curve represents $f$ and the&nbsp;other two curves represent&nbsp;$f'$ and $f''$.</p>\n<p>{geogebra_applet('BsRYG6PV',defs)}</p>", "functions": {}, "ungrouped_variables": ["defs"], "rulesets": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "variables": {"defs": {"templateType": "anything", "name": "defs", "group": "Ungrouped variables", "description": "", "definition": "[\n  ['b',b],\n  ['c',c],\n  ['d',d],\n  ['e',g],\n  ['f',f],\n  ['cols','{'+linesText+'}'],\n  ['sel',selector]\n]"}, "g": {"templateType": "anything", "name": "g", "group": "Function definition", "description": "", "definition": "random(2..3)"}, "linesText": {"templateType": "anything", "name": "linesText", "group": "Answer definition", "description": "", "definition": "join(lines,',')"}, "markMatrix": {"templateType": "anything", "name": "markMatrix", "group": "Answer definition", "description": "", "definition": "matrix(map(map(if(lines[a]=b,2,-1),a,0..2),b,[0,1,3]))"}, "c": {"templateType": "anything", "name": "c", "group": "Function definition", "description": "", "definition": "random(-10..10 except 0)/10"}, "f": {"templateType": "anything", "name": "f", "group": "Function definition", "description": "", "definition": "random(0,1)"}, "selector": {"templateType": "anything", "name": "selector", "group": "Function definition", "description": "", "definition": "random(0,1)"}, "b": {"templateType": "anything", "name": "b", "group": "Function definition", "description": "", "definition": "random(-10..10)/10"}, "d": {"templateType": "anything", "name": "d", "group": "Function definition", "description": "", "definition": "random(3..5)"}, "lines": {"templateType": "anything", "name": "lines", "group": "Answer definition", "description": "", "definition": "shuffle([0,1,3])"}}, "preamble": {"js": "", "css": ""}, "tags": [], "variable_groups": [{"name": "Function definition", "variables": ["b", "c", "d", "g", "f", "selector"]}, {"name": "Answer definition", "variables": ["lines", "linesText", "markMatrix"]}], "type": "question", "advice": "<p>Here are some questions&nbsp;to consider&nbsp;for this problem.</p>\n<ul>\n<li>What happens to even functions when you differentiate them? What about odd functions?</li>\n<li>Can you identify any maxima and minima and line them up with zeroes in other functions?</li>\n</ul>", "name": "Mystery derivatives", "parts": [{"choices": ["<p>Solid&nbsp;line</p>", "<p>Dashed line</p>", "<p>Dotted line</p>"], "layout": {"type": "all", "expression": ""}, "showFeedbackIcon": true, "matrix": "markMatrix", "showCorrectAnswer": true, "marks": 0, "displayType": "radiogroup", "warningType": "none", "prompt": "<p>For each&nbsp;curve, select&nbsp;the&nbsp;corresponding derivative. You will score $2$&nbsp;points for each curve correctly identified, and $-1$ point for each curve incorrectly identified.</p>", "variableReplacementStrategy": "originalfirst", "maxAnswers": 0, "shuffleAnswers": false, "scripts": {}, "minAnswers": 0, "variableReplacements": [], "type": "m_n_x", "shuffleChoices": false, "answers": ["<p>$f$</p>", "<p>$f'$</p>", "<p>$f''$</p>"], "maxMarks": 0, "minMarks": 0}], "contributors": [{"name": "Philip Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/362/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}]}], "contributors": [{"name": "Philip Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/362/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}]}