CPM Homework Help : CALC Problem 10-56

For $2 ≤ x ≤ 4$ , find the point(s) on $y = x^4 − 12x^3 + 52x^2 − 96x + 64$ at which the slope is the steepest.

Hint:

Determine the maximum of the slope function.
That is, take the second derivative and set it equal to $0$ .
Remember to check the endpoints.