Tutorial Exercise Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x- 6x - 24x + 2, [-2, 3] Step 1 The absolute maximum and minimum values of f occur either at a critical point inside the interval or at an endpoint of the interval. Recall that a critical point is a point where f'(x) = 0 or is undefined. We begin by finding the derivative of f. 2 f'(x)=12x -12x-24 12.2 12-24 Step 2 We now solve f'(x) = 0 for x, which gives the following critical numbers. (Enter your answers as a comma-separated list.) x= 4, 3 X