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Differentiate w.r.t. x
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3x^{2}+3x\sqrt{7}-2\sqrt{7}x-2\left(\sqrt{7}\right)^{2}
Apply the distributive property by multiplying each term of 3x-2\sqrt{7} by each term of x+\sqrt{7}.
3x^{2}+x\sqrt{7}-2\left(\sqrt{7}\right)^{2}
Combine 3x\sqrt{7} and -2\sqrt{7}x to get x\sqrt{7}.
3x^{2}+x\sqrt{7}-2\times 7
The square of \sqrt{7} is 7.
3x^{2}+x\sqrt{7}-14
Multiply -2 and 7 to get -14.