Practice on the differentiation questions of SFY0018 CBA1 (basic maths questions practised elsewhere)
", "licence": "All rights reserved"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "questions": [{"name": "Differentiation from first principles: Practice", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "John Appleby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5728/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "If $z=\\simplify{{f}-{b}t^2+{a}t}$, and $t$ increases to $t+\\delta t$, find $\\frac{\\delta z}{\\delta t}$ in the form $\\frac{\\delta z}{\\delta t}=ct+d+e\\delta{t}$.
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", "minValue": "-2b", "maxValue": "-2b", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Enter the value of $d$ as an integer:
", "minValue": "a", "maxValue": "a", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "Enter the value of $e$ as an integer:
", "minValue": "-b", "maxValue": "-b", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Diff polynomials 1: Practice", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "John Appleby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5728/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "If $p=\\simplify{{a}q^{b}+{f}-{c}q^{d}}$ find $\\frac{dp}{dq}$.
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", "minValue": "a*b*2^(b-1)-c*d*2^(d-1)", "maxValue": "a*b*2^(b-1)-c*d*2^(d-1)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Diff polynomials 2: Practice", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "John Appleby", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5728/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "If $\\psi=\\simplify{{c}-{b}u^2+{a}u^3}$, find two $u$-values where $\\frac{d\\psi}{du}=0$, with $u_1<u_2$:
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