316. It is a fact that the square root of 2 is the same as the fourth root of 4 -in other words, 2 ...
316. It is a fact that the square root of 2 is the same as the fourth root of 4 -in other words, 21/2=41/4. Thus, the graph of y=x1/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=x1/x has a horizontal asymptote. Investigate this possibility.
Determining the value of xDifferentiate 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