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Differentiate w.r.t. x
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x\times 822^{22244\sqrt{125}}
Multiply 2 and 11122 to get 22244.
x\times 822^{22244\times 5\sqrt{5}}
Factor 125=5^{2}\times 5. Rewrite the square root of the product \sqrt{5^{2}\times 5} as the product of square roots \sqrt{5^{2}}\sqrt{5}. Take the square root of 5^{2}.
x\times 822^{111220\sqrt{5}}
Multiply 22244 and 5 to get 111220.