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Differentiate w.r.t. a
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\frac{\sqrt{3}}{3\left(\sqrt{3}\right)^{2}a}
Rationalize the denominator of \frac{1}{3\sqrt{3}a} by multiplying numerator and denominator by \sqrt{3}.
\frac{\sqrt{3}}{3\times 3a}
The square of \sqrt{3} is 3.
\frac{\sqrt{3}}{9a}
Multiply 3 and 3 to get 9.