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\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)

Find the derivative of ((((x^22+x^2x^2+2)^0.5)/(x^2))/((x^22+x^2x^2+2)^0.5))/(x^2x^2)

Answer

$\frac{-6}{x^{7}}$

Step-by-step explanation

Problem

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

When multiplying exponents with same base we can add the exponents

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

Unlock this step-by-step solution!

Answer

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

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.72 seconds