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Step-by-step Solution

Find the derivative using the quotient rule (d/dx)(((((2+x^22+x^2x^2)^0.5)/(x^2))/((2+x^22+x^2x^2)^0.5))/(x^2x^2))

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Answer

$-6x^{-7}$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\frac{\frac{\frac{\sqrt{2+x^{22}+x^2 x^2}}{x^2}}{\sqrt{2+x^{22}+x^2 x^2}}}{x^2 x^2}\right)$
1

When multiplying exponents with same base we can add the exponents

$\frac{d}{dx}\left(\frac{\frac{\frac{\sqrt{2+x^{22}+x^{4}}}{x^2}}{\sqrt{2+x^{22}+x^{4}}}}{x^{4}}\right)$
2

Simplifying the fraction

$\frac{d}{dx}\left(\frac{\frac{\sqrt{2+x^{22}+x^{4}}}{x^2}}{\sqrt{2+x^{22}+x^{4}}x^{4}}\right)$

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Answer

$-6x^{-7}$
$\frac{d}{dx}\left(\frac{\frac{\frac{\sqrt{2+x^{22}+x^2 x^2}}{x^2}}{\sqrt{2+x^{22}+x^2 x^2}}}{x^2 x^2}\right)$

Main topic:

Integral calculus

Used formulas:

5. See formulas

Time to solve it:

~ 1.14 seconds