Solving for a Critical Point

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For the function $f(x)=\sqrt{x+6}+\frac{1}{\sqrt{x+6}},$ its derivative simplifies to

$f'(x)=\frac{x+5}{2*(x+6)^{3/2}}.$

Set $f'(x)=0$ and solve for x.

$0$

$-6$

$-5$

$5$

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