// Numbas version: exam_results_page_options
{"name": "Deriverbarhet og tangentplanet", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Deriverbarhet og tangentplanet", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>La $f:X\\subset\\mathbb{R}^2\\rightarrow \\mathbb{R}$ v&aelig;re en funksjon.</p>", "advice": "<p>Eksistensen av de partiellderiverte $f_x(a,b)$ og $f_y(a,b)$ er ikke tilstrekkelig til &aring; garantere at grafen har et tangentplan i $(a, b, f(a,b))$&nbsp;</p>", "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": "1_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": "<p>Anta $f(x,y)$, $f_x(x,y)$ og $f_y(x,y)$ alle eksisterer i punktet $(a,b)$.</p>\n<p>P&aring;stand:&nbsp;</p>\n<p>I punktet $(a,b)$ har da $f$ et tangentplan gitt ved&nbsp;</p>\n<p>$z=f(a,b)+f_x(a,b)(x-a)+f_y(a,b)(y-b)$</p>\n<p>Er denne p&aring;standen sann eller usann?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Sann", "Usann"], "matrix": [0, "1"], "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/"}]}