### Home > CALC > Chapter 10 > Lesson 10.1.6 > Problem 10-56

10-56.

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

Determine the maximum of the slope function.

That is, take the second derivative and set it equal to 0.

Remember to check the endpoints.