Question

Derivada
$\sqrt[4]{ {x}^{2 \5} + 3 \ {x}^{ - 9} - \sqrt{(8 \7)} }$
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Answer 1

Respuesta:

$=\frac{1}{4\left(x^2+3x^{-9}-\sqrt{8}\right)^{\frac{3}{4}}}\left(2x-\frac{27}{x^{10}}\right)$

Explicación paso a paso:

$derivada\:\sqrt[4]{x^2+3x^{-9}-\sqrt{\left(8\right)}}\\\\\frac{d}{dx}\left(\sqrt[4]{x^2+3x^{-9}-\sqrt{8}}\right)\\\\=\frac{1}{4\left(x^2+3x^{-9}-\sqrt{8}\right)^{\frac{3}{4}}}\frac{d}{dx}\left(x^2+3x^{-9}-\sqrt{8}\right)\\\\=\frac{1}{4\left(x^2+3x^{-9}-\sqrt{8}\right)^{\frac{3}{4}}}\left(2x-\frac{27}{x^{10}}\right)$