// Numbas version: exam_results_page_options {"name": "Lois's copy of Basic differentiation 1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Lois's copy of Basic differentiation 1", "tags": ["calculus", "Calculus", "Differentiation", "differentiation"], "metadata": {"description": "

A question to test basic differentiation of functions, including powers of x, trig, log and exponential functions.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

Differentiate the following functions with respect to $x$, simplifying your answers where possible.

", "advice": "

This leaflet from Mathcentre will remind you of the rules for differentiating these functions.

\n

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$x^\\var{a}-\\sin(\\var{b}x)$

", "answer": "{a}x^{a-1}-{b}cos({b}x)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\var{a}e^{-\\var{b}x}+\\frac{\\var{c}}{x}$

", "answer": "-{a}{b}e^(-{b}x)-{c}/x^2", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\var{d}\\ln(\\var{c}x)-\\var{a*b}\\cos(x/\\var{b})$

", "answer": "{d}/x+{a}sin(x/{b})", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\var{a}\\sqrt{x}-\\var{c}e^{\\var{d}x}$

", "answer": "{a}/(2sqrt(x))-{c}{d}e^({d}x)", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\var{d}-\\frac{\\var{b}}{x^2}$

", "answer": "2{b}/x^3", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "

$\\var{10*d}\\sin(\\var{c/10}x)+\\var{b}x$

", "answer": "{c}*{d}cos({c}/10*x)+{b}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "valuegenerators": [{"name": "x", "value": ""}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}, {"name": "Sid Gurjar", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3870/"}, {"name": "Venkata Lakshmipathi Raju Chinthalapati", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4574/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}, {"name": "Sid Gurjar", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3870/"}, {"name": "Venkata Lakshmipathi Raju Chinthalapati", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4574/"}]}