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Differentiate w.r.t. x
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2\sqrt{3}\sqrt{2}x\sqrt{3}
Factor 6=3\times 2. Rewrite the square root of the product \sqrt{3\times 2} as the product of square roots \sqrt{3}\sqrt{2}.
2\times 3x\sqrt{2}
Multiply \sqrt{3} and \sqrt{3} to get 3.
6x\sqrt{2}
Multiply 2 and 3 to get 6.