// Numbas version: exam_results_page_options {"name": "Differensial og globalt ekstremum", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Differensial og globalt ekstremum", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

La funksjonen $f:X\\subseteq\\mathbb{R}^n\\rightarrow \\mathbb{R}$ være deriverbar i punktet $\\mathbf{a}$

", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Velg hvilke påstander som er riktige

", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "checkbox", "displayColumns": 0, "minAnswers": 0, "maxAnswers": 0, "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["$f$ har et lokalt maksimum i $\\mathbf{a}$  $\\Rightarrow$ $Df(\\mathbf{a})=\\mathbf{0}$", "$Df(\\mathbf{a})=\\mathbf{0}$ $\\Rightarrow$ $f$ har et lokalt ekstremum i $\\mathbf{a}$", "$f$ har et lokalt maksimum i $\\mathbf{a}$  $\\Rightarrow$ $f_x(\\mathbf{a})=0$ $\\wedge$ $f_y(\\mathbf{a})=0$", "$f_x(\\mathbf{a})=0$ $\\wedge$ $f_y(\\mathbf{a})=0$$\\Rightarrow$ $\\mathbf{a}$ er et kritisk punkt", "$f_x(\\mathbf{a})=0$ $\\wedge$ $f_y(\\mathbf{a})=0$ $\\Rightarrow$ $\\mathbf{a}$ er et lokalt minimum eller maksimum"], "matrix": ["1", 0, "1", "1", 0], "distractors": ["", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}, {"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}]}]}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}, {"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}]}