Course Messages Forums Calendar Gradebook Home MAT201.5958 Spring 1, 2022 > Assessment HW 12 Maxima/Minima Score: 6.5/14 10/14 answered Question 14 < > Given the function g(x)=8x3108x2 + 480x, find the first derivative, g'(x). g'(x)= Notice that g'(x)=0 when x = 4, that is, g'(4) = 0. Now, we want to know whether there is a local minimum or local maximum at x=4, so we will use the second derivative test. Find the second derivative, g''(x). 9''(x)= Evaluate g''(4). g''(4) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x=4? [Answer either up or down watch your spelling!!] At = 4 the graph of g(x) is concave Based on the concavity of g(x) at a = 4, does this mean that there is a local minimum or local maximum at x=4? [Answer either minimum or maximum watch your spelling!!] At 4 there is a local = Question Help: Video Message instructor Submit Question Save progress Done o 0/1 pt 619 De