// Numbas version: finer_feedback_settings
{"name": "Christian's copy of Mystery derivatives", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["defs"], "variables": {"d": {"definition": "random(3..5)", "name": "d", "templateType": "anything", "description": "", "group": "Function definition"}, "f": {"definition": "random(0,1)", "name": "f", "templateType": "anything", "description": "", "group": "Function definition"}, "g": {"definition": "random(2..3)", "name": "g", "templateType": "anything", "description": "", "group": "Function definition"}, "lines": {"definition": "shuffle([0,1,3])", "name": "lines", "templateType": "anything", "description": "", "group": "Answer definition"}, "c": {"definition": "random(-10..10 except 0)/10", "name": "c", "templateType": "anything", "description": "", "group": "Function definition"}, "defs": {"definition": "[\n  ['b',b],\n  ['c',c],\n  ['d',d],\n  ['e',g],\n  ['f',f],\n  ['cols','{'+linesText+'}'],\n  ['sel',selector]\n]", "name": "defs", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "linesText": {"definition": "join(lines,',')", "name": "linesText", "templateType": "anything", "description": "", "group": "Answer definition"}, "markMatrix": {"definition": "matrix(map(map(if(lines[a]=b,2,-1),a,0..2),b,[0,1,3]))", "name": "markMatrix", "templateType": "anything", "description": "", "group": "Answer definition"}, "selector": {"definition": "random(0,1)", "name": "selector", "templateType": "anything", "description": "", "group": "Function definition"}, "b": {"definition": "random(-10..10)/10", "name": "b", "templateType": "anything", "description": "", "group": "Function definition"}}, "parts": [{"maxAnswers": 0, "shuffleChoices": false, "answers": ["<p>$f$</p>", "<p>$f'$</p>", "<p>$f''$</p>"], "showCorrectAnswer": true, "shuffleAnswers": false, "choices": ["<p>Solid&nbsp;line</p>", "<p>Dashed line</p>", "<p>Dotted line</p>"], "minMarks": 0, "scripts": {}, "displayType": "radiogroup", "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>", "maxMarks": 0, "variableReplacementStrategy": "originalfirst", "warningType": "none", "variableReplacements": [], "minAnswers": 0, "type": "m_n_x", "matrix": "markMatrix", "marks": 0, "layout": {"expression": "", "type": "all"}, "showFeedbackIcon": true}], "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>", "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>"}, "variable_groups": [{"name": "Function definition", "variables": ["b", "c", "d", "g", "f", "selector"]}, {"name": "Answer definition", "variables": ["lines", "linesText", "markMatrix"]}], "preamble": {"css": "", "js": ""}, "extensions": ["geogebra"], "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('y4aFfH8q',defs)}</p>", "tags": [], "name": "Christian's copy of Mystery derivatives", "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "rulesets": {}, "type": "question", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}