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06-10-2017
Mathematics

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

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06-10-2017

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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