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 x_{0} = 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, x_{0} is a global maximum. A seond
derivative is simple the derivative of the first derivative and all derivative
rules apply.