Solving for a Critical Point
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.
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.