// Numbas version: exam_results_page_options {"name": "TRES CINCO Derivadas R potencia y suma/resta", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "TRES CINCO Derivadas R potencia y suma/resta", "tags": [], "metadata": {"description": "

A basic introduction to differentiation

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

Calcular la primer y segunda derivada de cada una de las funciones.

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$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[0]}x^5+{bc[0]}x^4+{cc[0]}x^3+{dc[0]}x^2+{ec[0]}x+{fc[0]}}$

\n

$f'(x)=$[[0]]$x^4+$[[1]]$x^3+$[[2]]$x^2+$[[3]]$x+$[[4]]

\n

$f''(x)=$[[5]]$x^3+$[[6]]$x^2+$[[7]]$x+$[[8]]

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"originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{ec[0]}", "maxValue": "{ec[0]}", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"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, "minValue": "{ac[0]}*5*4", "maxValue": "{ac[0]}*5*4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{bc[0]}*4*3", "maxValue": "{bc[0]}*4*3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], 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$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[1]}x^{ap}+{bc[1]}x^{bp}+{cc[1]}x^{cp}+{dc[1]}x^{dp}+{ec[1]}x+{fc[1]}}$

\n

$f'(x)=$ [[0]]

\n

$f''(x)=$ [[1]]

\n

Ejemplo de respuesta: si la respuesta es $-7x^5+7x^3-8x$, digite -7x^5+7x^3-8x en la barra de respuesta.

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$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[2]}x^{ap}+{bc[2]}x^{bp}+{cc[2]}x^{cp}+{dc[2]}x^{dp}+{ec[2]}x+{fc[2]}}$

\n

$f'(x)=$ [[0]]

\n

$f''(x)=$ [[1]]

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$\\simplify[basic,zeroterm,zerofactor,unitfactor]{{ac[3]}x^{ap}+{bc[3]}x^{bp}+{cc[3]}x^{cp}+{dc[3]}x^{dp}+{ec[3]}x+{fc[3]}}$

\n

$f'(x)=$ [[0]]

\n

$f''(x)=$ [[1]]

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