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