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29 September, 19:10

How to find the derivative of functions: y = (5x+7) (x+5) ^3

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  1. 29 September, 19:22
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    Use the product and chain rules.

    We want dy/dx.

    dy/dx = (5x+7) (x+5) ^3

    dy/dx = (5x+7) 3 (x+5) ^2 + (x+5) ^3 (5)

    We now simplify as much as possible.

    dy/dx = 3 (5x+7) (x+5) ^2 + 5 (x+5) ^3
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