Final Answer
$\frac{-\frac{39}{112}\sqrt[5]{m^{8}}\sqrt[10]{x^{3}}+2.785762n\sqrt[10]{x^{3}}\sqrt[5]{m^{3}}}{3.031433\sqrt[5]{n^{6}}}$
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Step-by-step Solution
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Simplifying
$\frac{d}{dn}\left(\frac{m^3n\sqrt{x}}{\sqrt[5]{16m^7n^6x}}\right)$
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$\frac{d}{dn}\left(\frac{m^3n\sqrt{x}}{\sqrt[5]{16m^7n^6x}}\right)$
Learn how to solve problems step by step online. Find the derivative of (m^3nx^1/2)/((2^4m^7n^6x)^1/5). Simplifying. The power of a product is equal to the product of it's factors raised to the same power. Simplify the fraction by n. Simplify the fraction \frac{m^3\sqrt{x}}{\sqrt{x}} by m.
Final Answer
$\frac{-\frac{39}{112}\sqrt[5]{m^{8}}\sqrt[10]{x^{3}}+2.785762n\sqrt[10]{x^{3}}\sqrt[5]{m^{3}}}{3.031433\sqrt[5]{n^{6}}}$