# Step-by-step Solution

## Find the derivative using the product rule $\frac{d}{dx}\left(\sqrt{\frac{v}{p}}\left(1-\left(\frac{abc}{x^2}\right)\right)\right)$

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## Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\sqrt{\frac{v}{p}}\left(1-\frac{ab\cdot c}{x^2}\right)\right)$
1

Multiplying polynomials $\sqrt{\frac{v}{p}}$ and $1+-\left(\frac{abc}{x^2}\right)$

$\frac{d}{dx}\left(\sqrt{\frac{v}{p}}+\frac{-\sqrt{\frac{v}{p}}abc}{x^2}\right)$
2

Take out the constant from the fraction's numerator

$\frac{d}{dx}\left(\sqrt{\frac{v}{p}}-\left(\frac{\sqrt{\frac{v}{p}}abc}{x^2}\right)\right)$

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$\frac{d}{dx}\left(\sqrt{\frac{v}{p}}\left(1-\frac{ab\cdot c}{x^2}\right)\right)$

Product rule

~ 0.77 seconds

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