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$\\dfrac{d}{dx}\\left [\\simplify[all,fractionnumbers]{{ac[0]}x^{3/2}+{bc[0]}x^{1/2}+{cc[0]}x^{-1/2}+{dc[0]}x}\\right ]$=[[0]]

\n

Ejemplo de respuesta: si la respuesta es $-7x^5+7x^3-8x$, digite $-7x^5+7x^3-8x en la barra de respuesta. ", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(3{ac[0]}/2)*x^(1/2)+({bc[0]}/2)*x^(-1/2)+(-{cc[0]}/2)*x^(-3/2)+{dc[0]}", "marks": "25", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "$\\dfrac{d}{dx}\\left [\\simplify[all,fractionnumbers]{{ac[1]}/{d[0]}x^{3/2}+{bc[1]}/{d[1]}x^{1/2}+{cc[1]}/{d[2]}x^{-1/2}+{dc[1]}/{d[3]}x}\\right ]$=[[0]] \n ", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(3{ac[1]}/(2{d[0]}))*x^(1/2)+({bc[1]}/(2{d[1]}))*x^(-1/2)+(-{cc[1]}/(2{d[2]}))*x^(-3/2)+{dc[1]}/{d[3]}", "marks": "25", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "$\\dfrac{d}{dx}\\left [\\simplify[all,fractionnumbers]{{ac[2]}/{d[4]}x^{3/2}+{bc[2]}/{d[5]}x^{1/2}+{cc[2]}/{d[6]}x^{-1/2}+{dc[2]}/{d[7]}x}\\right ]\$=[[0]]

", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "(3{ac[2]}/(2{d[4]}))*x^(1/2)+({bc[2]}/(2{d[5]}))*x^(-1/2)+(-{cc[2]}/(2{d[6]}))*x^(-3/2)+{dc[2]}/{d[7]}", "marks": "25", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "

Calcular la derivada de las siguientes funciones.

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More work on differentiation with fractional coefficients and powers

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