// Numbas version: exam_results_page_options
{"name": "Tien Chern's copy of Custom marking - differentiate student's answer", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"ungrouped_variables": ["a", "b"], "advice": "", "extensions": [], "functions": {}, "name": "Tien Chern's copy of Custom marking - differentiate student's answer", "preamble": {"css": "", "js": "//*************\n// differentiation\nvar jme = Numbas.jme;\nvar TNum = Numbas.jme.types.TNum;\n\nvar functionDerivatives = {\n  'cos': '-sin(x)',\n  'sin': 'cos(x)'\n};\nvar generalFunctionDerivative = jme.compile(\"f'(x)\");\nfor(var name in functionDerivatives) {\n  functionDerivatives[name] = jme.compile(functionDerivatives[name]);\n}\nvar chainRule = jme.compile(\"x'*f'\")\n    var opDerivatives = {\n      '+': \"u'+v'\",\n      '+u': \"+u'\",\n      '-u': \"-u'\",\n      '-': \"u'-v'\",\n      '*': \"u'*v+u*v'\",\n      \"/\": \"(v*u'-v'*u)/(v^2)\"\n    }\n        var powerRule = jme.compile(\"v*u'*u^(v-1)\");\nvar exponentialRule = jme.compile(\"ln(u)*v'*u^v\");\nfor(var name in opDerivatives) {\n  opDerivatives[name] = jme.compile(opDerivatives[name]);\n}\n\nvar differentiate = jme.differentiate = function(tree,x) {\n  var tok = tree.tok;\n  \n  switch(tok.type) {\n    case 'number':\n      return {tok: new TNum(0)};\n      break;\n    case 'name':\n      return {tok: new TNum(tok.name==x ? 1 : 0)};\n    case 'op':\n      var l = differentiate(tree.args[0],x,1);\n      if(tree.args.length>1)\n        var r = differentiate(tree.args[1],x,1);\n      var scope = {variables: {\"u\": tree.args[0], \"u'\": l, \"v\": tree.args[1], \"v'\": r}};\n      if(tok.name=='^') {\n        if(tree.args[1].tok.type=='number' || (tree.args[1].tok.type=='op' && tree.args[1].tok.name=='-u' && tree.args[1].args[0].tok.type=='number')) {\t// f(x)^n\n          return jme.substituteTree(powerRule,scope);\n        }\n        else if(tree.args[0].tok.type=='number' || (tree.args[0].tok.type=='op' && tree.args[0].tok.name=='-u' && tree.args[0].args[0].tok.type=='number')) {\t// n^x\n          return jme.substituteTree(exponentialRule,scope);\n        }\n        else {\n          throw(new Numbas.Error('jme.differentiate.hard exponential'));\n        }\n      }\n      return jme.substituteTree(opDerivatives[tok.name],scope);\n    case 'function':\n      var df = jme.substituteTree(tok.name in functionDerivatives ? functionDerivatives[tok.name] : generalFunctionDerivative,{variables:{x:tree.args[0], \"f'\": tok.name+\"'\"}});\n      var dx = differentiate(tree.args[0],x);\n      return jme.substituteTree(chainRule,{variables: {\"f'\": df, \"x'\": dx}});\n  }\n}\n    // end of differentiation code\n    // ***************************\n    \n    question.signals.on('HTMLAttached',function() {\n      var gap = question.parts[0].gaps[0];\n      var omark = gap.mark;\n      var add_constant_rule = new Numbas.jme.display.Rule('x+y',[]);\n    });"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "tags": [], "variables": {"b": {"name": "b", "templateType": "anything", "definition": "random(-10..10 except 0)", "description": "", "group": "Ungrouped variables"}, "a": {"name": "a", "templateType": "anything", "definition": "random(1..10)", "description": "", "group": "Ungrouped variables"}}, "parts": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "scripts": {}, "prompt": "<p>&nbsp;</p>\n<div class=\"container-fluid\" id=\"content\" role=\"main\">\n<div class=\"loaded-content\">\n<div class=\"row\">\n<div class=\"col-sm-9 col-md-10 editing\">\n<div class=\"tab-content\">\n<section class=\"tab-pane active\" data-bind=\"css: {active: ko.unwrap($root.currentTab().id)=='parts'}\">\n<div class=\"panel-group parts\" role=\"tablist\" aria-multiselectable=\"true\">\n<div class=\"panel part open panel-primary root\" data-bind=\"\n                    visible: isRootPart() || parent().open(), \n                    attr: {'data-path': path},\n                    css: {'open': open, 'panel-primary': isRootPart, 'panel-success': isGap, 'panel-info': isStep, 'root': isRootPart, 'gap': isGap, 'step': isStep}\n                \" data-path=\"p0\">\n<div data-bind=\"fadeVisible: open\">\n<div class=\"panel-body\">\n<div class=\"col-sm-9 tab-content\">\n<section class=\"tab-pane active\" data-bind=\"css: {active: ko.unwrap(currentTab().id)=='prompt'}\">\n<div disabled=\"disabled\" class=\"well content-area\" data-bind=\"writemaths: prompt, preambleCSS: $root.preamble.css, tinymce_plugins: ['gapfill','jmevisible','preview'], showButtons: {gapfill: function(){return $data.type().name=='gapfill'}}\"></div>\n</section>\n</div>\n</div>\n</div>\n</div>\n</div>\n</section>\n</div>\n</div>\n</div>\n</div>\n</div>\n<div class=\"container-fluid\" id=\"content\" role=\"main\">\n<div class=\"loaded-content\">\n<div class=\"row\">\n<div class=\"col-sm-9 col-md-10 editing\">\n<div class=\"tab-content\">\n<section class=\"tab-pane active\" data-bind=\"css: {active: ko.unwrap($root.currentTab().id)=='parts'}\">\n<div class=\"panel-group parts\" role=\"tablist\" aria-multiselectable=\"true\">\n<div class=\"panel part open panel-primary root\" data-bind=\"\n                    visible: isRootPart() || parent().open(), \n                    attr: {'data-path': path},\n                    css: {'open': open, 'panel-primary': isRootPart, 'panel-success': isGap, 'panel-info': isStep, 'root': isRootPart, 'gap': isGap, 'step': isStep}\n                \" data-path=\"p0\">\n<div data-bind=\"fadeVisible: open\">\n<div class=\"panel-body\">\n<div class=\"col-sm-9 tab-content\">\n<section class=\"tab-pane active\" data-bind=\"css: {active: ko.unwrap(currentTab().id)=='prompt'}\">\n<div disabled=\"disabled\" class=\"well content-area\" data-bind=\"writemaths: prompt, preambleCSS: $root.preamble.css, tinymce_plugins: ['gapfill','jmevisible','preview'], showButtons: {gapfill: function(){return $data.type().name=='gapfill'}}\"></div>\n</section>\n</div>\n</div>\n</div>\n</div>\n</div>\n</section>\n</div>\n</div>\n</div>\n</div>\n</div>\n<div class=\"container-fluid\" id=\"content\" role=\"main\">\n<div class=\"loaded-content\">\n<div class=\"row\">\n<div class=\"col-sm-9 col-md-10 editing\">\n<div class=\"tab-content\">\n<section class=\"tab-pane active\" data-bind=\"css: {active: ko.unwrap($root.currentTab().id)=='parts'}\">\n<div class=\"panel-group parts\" role=\"tablist\" aria-multiselectable=\"true\">\n<div class=\"panel part open panel-primary root\" data-bind=\"\n                    visible: isRootPart() || parent().open(), \n                    attr: {'data-path': path},\n                    css: {'open': open, 'panel-primary': isRootPart, 'panel-success': isGap, 'panel-info': isStep, 'root': isRootPart, 'gap': isGap, 'step': isStep}\n                \" data-path=\"p0\">\n<div data-bind=\"fadeVisible: open\">\n<div class=\"panel-body\">\n<div class=\"col-sm-9 tab-content\">\n<section class=\"tab-pane active\" data-bind=\"css: {active: ko.unwrap(currentTab().id)=='prompt'}\">\n<div disabled=\"disabled\" class=\"well content-area\" data-bind=\"writemaths: prompt, preambleCSS: $root.preamble.css, tinymce_plugins: ['gapfill','jmevisible','preview'], showButtons: {gapfill: function(){return $data.type().name=='gapfill'}}\"></div>\n</section>\n</div>\n</div>\n</div>\n</div>\n</div>\n</section>\n</div>\n</div>\n</div>\n</div>\n</div>", "gaps": [{"scripts": {"mark": {"script": "// get the student's answer\nvar integral = this.studentAnswer;\n\n// compute its derivative\nvar tree;\nvar derivative;\nvar derivative_tree;\nvar test;\n\n//try {\n  tree = Numbas.jme.compile(integral);\n//  derivative_tree = Numbas.jme.differentiate(tree,'x');\n//  derivative = Numbas.jme.display.treeToJME(derivative_tree);\n//  derivative = Numbas.jme.display.simplifyExpression(derivative,'all',Numbas.jme.builtinScope);\n//}\n//catch(e) {\n//  derivative = '';\n//}\n\n// set the \"student's answer\" to the derivative\n//this.studentAnswer = derivative;\n\n// mark the JME part - the correct answer is the function which was to be integrated\nNumbas.parts.JMEPart.prototype.mark.apply(this);\n\n// set the student's answer back to what they typed\n//this.studentAnswer = integral;\n\nthis.markingFeedback = [];\n\n// If the derivative matches the original expression\nif(this.credit!=2) {  \n  this.markingComment('testing');\n  \n  // check there's a constant of integration\n  if(Numbas.jme.findvars(tree).length==2) {\n    //test = Numbas.jme.display.treeToJME(tree);\n    //Numbas.jme.evaluate(test - C);\n    this.markingComment('testing11');\n//    this.multCredit(0.5,'You need to add a constant of integration, but otherwise this is correct.');\n  }\n}\nelse{\n  this.markingComment('Your answer is correct. Well done!');\n}", "order": "instead"}}, "showpreview": true, "checkingtype": "absdiff", "type": "jme", "answer": "-(1/{a})*cot({a}*x+{b})", "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "marks": 2, "vsetrange": [0, 1], "vsetrangepoints": 5, "showCorrectAnswer": true, "checkvariablenames": false, "expectedvariablenames": [], "checkingaccuracy": "c+0.001", "variableReplacements": []}], "type": "gapfill", "showCorrectAnswer": true, "variableReplacements": [], "showFeedbackIcon": true}], "statement": "", "variable_groups": [], "rulesets": {}, "type": "question", "contributors": [{"name": "Tien Chern Chia", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1601/"}]}]}], "contributors": [{"name": "Tien Chern Chia", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1601/"}]}