Second Derivative Test 3 2 1. Find the first derivative of the function g(x) = 6x- 9x - 360x - 42. g'(x) = = 2. Find the second derivative of the function. g'(x) = 3. Evaluate g'(-4). g'( -4) = 4. Evaluate g''(-4): g'(-4) = 5. Is the graph of g(x) concave up or concave down at x = - 4? At x = - 4 the graph of g(x) is concave 6. Using the second derivative test: Does the graph of g(x) have a local minimum or local maximum at x = -4? At x = - - 4 there is a local