### Home > APCALC > Chapter 10 > Lesson 10.1.6 > Problem10-72

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.

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

Remember to check the endpoints.