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31 January, 15:06

If f (x) = 9x10 tan-1x, find f ' (x).

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  1. 31 January, 15:08
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    F (x) = 9x10tan-1 (x)

    Use the product rule to derive.

    Let g (x) = 9x10

    Let h (x) = tan-1 (x)

    Product rule:

    f' (x) = g' (x) h (x) + g (x) h' (x)

    f' (x) = 90x9tan-1 - [9x10 / (1 + x2) ]
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