The curve with the equation y=8x^2 + 2/x has one turning point. Find the coordinates of this turning point.

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

Take the derivative of both sides with respect to x:

Simplify:

We will now set this equal to 0 and solve for x. Hence:

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

Hence, our coordinate Is (1/2, 6).

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step-by-step explanation: