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Differentiate w.r.t. x
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3\times 6\sqrt{6}x^{9}
Factor 216=6^{2}\times 6. Rewrite the square root of the product \sqrt{6^{2}\times 6} as the product of square roots \sqrt{6^{2}}\sqrt{6}. Take the square root of 6^{2}.
18\sqrt{6}x^{9}
Multiply 3 and 6 to get 18.