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Differentiate w.r.t. x
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\frac{12\sqrt{2}}{\left(\sqrt{2}\right)^{2}}+x
Rationalize the denominator of \frac{12}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{12\sqrt{2}}{2}+x
The square of \sqrt{2} is 2.
6\sqrt{2}+x
Divide 12\sqrt{2} by 2 to get 6\sqrt{2}.