Answer:
(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).