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Differentiate w.r.t. X
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2\sqrt{6}X\times \frac{\sqrt{1}}{\sqrt{3}}
Rewrite the square root of the division \sqrt{\frac{1}{3}} as the division of square roots \frac{\sqrt{1}}{\sqrt{3}}.
2\sqrt{6}X\times \frac{1}{\sqrt{3}}
Calculate the square root of 1 and get 1.
2\sqrt{6}X\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
2\sqrt{6}X\times \frac{\sqrt{3}}{3}
The square of \sqrt{3} is 3.
\frac{2\sqrt{3}}{3}\sqrt{6}X
Express 2\times \frac{\sqrt{3}}{3} as a single fraction.
\frac{2\sqrt{3}\sqrt{6}}{3}X
Express \frac{2\sqrt{3}}{3}\sqrt{6} as a single fraction.
\frac{2\sqrt{3}\sqrt{6}X}{3}
Express \frac{2\sqrt{3}\sqrt{6}}{3}X as a single fraction.