Evaluate
7x^{2}+100\sqrt{2}
Differentiate w.r.t. x
14x
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7x^{2}+25\times 4\sqrt{2}
Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.
7x^{2}+100\sqrt{2}
Multiply 25 and 4 to get 100.
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