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    "name": "DIfferentiation: product rule",
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        "full_name": "Newcastle University Mathematics and Statistics",
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    "metadata": {
        "description": "<p>Differentiate the function $f(x)=(a + b x)^m &nbsp;e ^ {n x}$&nbsp;using the product rule. Find $g(x)$ such that $f^{\\prime}(x)= (a + b x)^{m-1} &nbsp;e ^ {n x}g(x)$.</p>",
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