/YOW What are the steps to find the absolute extrema for a function on an interval? P Find the absolute extreme values of g(x) = 3x2 - 7x + 12 on the interval [-1, 4]./YOW How does the second derivative test help you to determine if a critical point is a maximum or a minimum? P Use the second derivative test to classify the critical points for f (x) = x3 - 6x2. P Suppose that x = 4 is a critical number for h(x). If h'(3) = 4 and h'(5) = -7, do you expect h (x) to have a maximum or a minimum at x = 4? IYOW How can you use calculus to help you do something like maximize your profit?Find the equation of the line tangent to f (x) = vx atx = 4. Sketch /(x) = vx and the tangent line you found above on the same graph. When x = 3.5, what do you notice about / (x) and the tangent line? Find lim Find lim x