27. Incorrect. The answer is true, not false. To find the optimal point set the first derivative of f'(x) = 0, or f'(x) = -4x + 4 = 0. From this x0 = 1. To determine whether the optimal point is a relative/global maximum of minimum or neither, check the sign of the second derivative evaluated at the optimal point: f"(x) = -4 for all values of x, therefore, x0 is a global maximum. A seond derivative is simple the derivative of the first derivative and all derivative rules apply.