Score: 1/6 1/6 answered Question 5 < > Given the function g(x) = 4x-24x + 36x, find the first derivative, g'(z). g'(x)= Notice that g'(x) = 0 when x = 3, that is, g'(3) = 0. Now, we want to know whether there is a local minimum or local maximum at x=3, so we will use the second derivative test. Find the second derivative, g''(z). g'(x) = Evaluate g''(3). g'(3) = Based on the sign of this number, does this mean the graph of g() is concave up or concave down at x = 3? [Answer either up or down watch your spelling!!] At 3 the graph of g() is concave Based on the concavity of g(x) at x = 3, does this mean that there is a local minimum or local maximum at = 3? [Answer either minimum or maximum watch your spelling!!] At 3 there is a local Submit Question