Evaluate
\frac{\sqrt{3}\left(3-x\right)}{12}
Differentiate w.r.t. x
-\frac{\sqrt{3}}{12} = -0.14433756729740643
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\frac{\left(3-x\right)\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{3-x}{4\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{\left(3-x\right)\sqrt{3}}{4\times 3}
The square of \sqrt{3} is 3.
\frac{\left(3-x\right)\sqrt{3}}{12}
Multiply 4 and 3 to get 12.
\frac{3\sqrt{3}-x\sqrt{3}}{12}
Use the distributive property to multiply 3-x by \sqrt{3}.
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