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Step-by-step Solution

Find the derivative using the quotient rule $\frac{d}{dx}\left(\frac{-8x^{-5}+6}{-4x^{-6}+8}\right)$

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Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\frac{-8x^{-5}+6}{-4x^{-6}+8}\right)$

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Answer

$\frac{40x^{-6}\left(-4x^{-6}+8\right)-24x^{-7}\left(-8x^{-5}+6\right)}{\left(-4x^{-6}+8\right)^2}$
$\frac{d}{dx}\left(\frac{-8x^{-5}+6}{-4x^{-6}+8}\right)$

Main topic:

Quotient of powers

Time to solve it:

~ 3.55 seconds