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316. It is a fact that the square root of 2 is the same as the fourth root of 4 -in other words, $2_{1/2}=4_{1/4}$. Thus, the graph of $y=x_{1/x}$ goes through two points that have the same $y$-coordinate. As the diagram suggests, the maximum $y$-value for this curve occurs between $x=2$ and $x=4$. What is this $x$-value, to four places? 317. (Continuation) The diagram also suggests that the graph of $y=x_{1/x}$ has a horizontal asymptote. Investigate this possibility.

Determining the value of x

Differentiate both sides of the equation.

The derivative of with respect to is .

Differentiate the right side of the equation.

Reform the equation by setting the left side equal to the right side.

Replace with .

Or