CPM Homework Help : APCALC Problem 10-72

For $2 ≤ x ≤ 4$ , determine the point(s) on the graph of $y = x^4 - 12x^3 + 52x^2 - 96x + 64$ 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 $0$ .

More Help:

Remember to check the endpoints.