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{
"url": "https://numbas.mathcentre.ac.uk/api/questions/96/?format=api",
"name": "Product Rule",
"published": true,
"project": "https://numbas.mathcentre.ac.uk/api/projects/3/?format=api",
"author": {
"url": "https://numbas.mathcentre.ac.uk/api/users/6/?format=api",
"profile": "https://numbas.mathcentre.ac.uk/accounts/profile/6/?format=api",
"full_name": "Bill Foster",
"pk": 6,
"avatar": null
},
"edit": "https://numbas.mathcentre.ac.uk/question/96/product-rule/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/96/product-rule/preview/?format=api",
"download": "https://numbas.mathcentre.ac.uk/question/96/product-rule.zip?format=api",
"source": "https://numbas.mathcentre.ac.uk/question/96/product-rule.exam?format=api",
"metadata": {
"notes": "\n \t\t<p><strong>20/06/2012:</strong></p>\n \t\t<p>Added tags.</p>\n \t\t<p><strong>4/7/2012:<br /></strong></p>\n \t\t<p>Added tags.</p>\n \t\t<p><strong>31/07/2012:</strong></p>\n \t\t<p>Checked calculation.</p>\n \t\t<p>Allowed no penalty on looking at Steps.</p>\n \t\t",
"description": "<p>Differentiate the function $f(x)=(a + b x)^m e ^ {n x}$ using the product rule. Find $g(x)$ such that $f\\;'(x)= (a + b x)^{m-1} e ^ {n x}g(x)$.</p>",
"licence": "Creative Commons Attribution 4.0 International"
},
"status": null,
"resources": []
}