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trial test Calculus

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Derivasjon 1

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$(x^n)'=n\\cdot x^{n-1}$

\n

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Deriver en funksjon 

\n

$x^{5}$

\n

\n

[[0]]

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$(x^n)'=n\\cdot x^{n-1}$

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Deriver en funksjon

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The exponent of the function

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$x^\\var{exponent}$

", "answer": "{exponent}x^{exponent-1}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Derivasjon 3", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Elena Malyutina", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7213/"}], "tags": [], "metadata": {"description": "

q1

", "licence": "None specified"}, "statement": "

Deriver en funksjon

", "advice": "

Here we write a solution of the exercise 

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Variable a

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Variable b

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Variable c

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$y=\\var{a}\\cdot \\sqrt{x}+\\frac{\\var{b}}{x^{\\var{c}}}-\\frac{\\sqrt{x}}{x}$

\n

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integrasjon

", "licence": "All rights reserved"}, "statement": "

Integrasjon

\n

", "advice": "

-1/{a}*cos({a}x)+2/{a}

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koeffisient 

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Finn ubestemt integral med initial betingelsen $f(0)=\\frac{1}{\\var{koef}}$

\n

\n

$\\int \\sin(\\var{koef}x) \\ dx$ 

\n

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Finn arealet av trekanten $ABC$.

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$A=(\\var{a},\\var{b},\\var{c}),\\ B=(\\var{d},\\var{f},\\var{g}),\\ C=(\\var{a},\\var{b},\\var{c-5})$

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Du har ikke fullført oppgaven

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5 minutt igjen

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