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Differentiate w.r.t. x
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\frac{6x\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{6x}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{6x\sqrt{3}}{3}
The square of \sqrt{3} is 3.
2x\sqrt{3}
Divide 6x\sqrt{3} by 3 to get 2x\sqrt{3}.