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Step-by-step Solution

Find the derivative using the product rule $\frac{d}{dr}\left(\left(3+r\right)\sqrt{\left(3-r\right)^2+\left(\frac{108}{9+r^2+3r}\right)^2}\right)$

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Step-by-step explanation

Problem to solve:

$\frac{d}{dr}\pi\left(3+r\right)\sqrt{\left(3-r\right)^2+\left(\frac{108}{\left(9+r^2+3r\right)}\right)^2}$

Answer

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Problem Analysis

$\frac{d}{dr}\pi\left(3+r\right)\sqrt{\left(3-r\right)^2+\left(\frac{108}{\left(9+r^2+3r\right)}\right)^2}$

Related formulas:

1. See formulas

Time to solve it:

~ 24.03 seconds