Second Derivative Test 1 Find the first derivative of the function g x 6x 45x 72z g x 2 Find the second derivative of the function g z 3 Evaluate g 1 g 1 4 Is the graph of g z concave up or concave down at x 1 At z 1 the graph of g z is concave 5 Does the graph of g z have a local minimum or local maximum at z 1 At z 1 there is a local