Tutorial Exercise Find the absolute maximum and absolute minimum values of f on the given interval. f(x)=6x-18x2144x+6, [-3, 5] 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. f'(x) = 18x - 36x-144 18x236x144 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= -2,4 -2,4 Step 3 We must now find the function values at the critical numbers we just found and at the endpoints of the interval [-3, 5]. f(-2)= f(4) f(-3) f(5) = Enter an exact number. Submit Skip (you cannot come back)