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Step-by-step Solution

Find the derivative using the quotient rule $\frac{d}{dx}\left(\frac{\sqrt{x^2+2}}{x^2-2}\right)$

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Step-by-step explanation

Problem to solve:

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

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Answer

$\frac{x\left(x^2+2\right)^{-0.5}x^2-2x\left(x^2+2\right)^{-0.5}-2\sqrt{x^2+2}x}{\left(x+1.4142\right)^2\left(x-1.4142\right)^2}$
$\frac{d}{dx}\left(\frac{\sqrt{x^2+2}}{x^2-2}\right)$

Related formulas:

1. See formulas

Time to solve it:

~ 5.29 seconds