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Suppose g(x)=2x+2g\(\left\)(x\(\right\))=2\(\sqrt{x+2}\). Use limits to determine the exact value of g′(2)g^{\(\prime\)}\(\left\)(2\(\right\)).

Suppose $g (x) = 2 \sqrt{x + 2}$ . Use limits to determine the exact value of $g prime of 2$ .