Evaluate
30\sqrt{2}x
Differentiate w.r.t. x
30 \sqrt{2} = 42.426406871
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3\sqrt{5}x\times 2\sqrt{5}\sqrt{2}
Factor 10=5\times 2. Rewrite the square root of the product \sqrt{5\times 2} as the product of square roots \sqrt{5}\sqrt{2}.
3\times 5x\times 2\sqrt{2}
Multiply \sqrt{5} and \sqrt{5} to get 5.
15x\times 2\sqrt{2}
Multiply 3 and 5 to get 15.
30x\sqrt{2}
Multiply 15 and 2 to get 30.
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