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Differentiate w.r.t. x
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\frac{64x^{3}\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{64x^{3}}{3\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{64x^{3}\sqrt{3}}{3\times 3}
The square of \sqrt{3} is 3.
\frac{64x^{3}\sqrt{3}}{9}
Multiply 3 and 3 to get 9.