Exercise 2. Obtain expressions for all first and second derivatives of the function of two variables f(x) = x1 + x₁x₂ + (1+x₂)². Evaluate these derivatives at x = 0 and show that G(0) is not positive definite. Exercise 3. Find and verify the type of stationary points for the following functions: a. f(x) = x² + 4x2 - 4x₁ - 8x2 b. f(x) = x² + 2x² + 4x₁ + 4x₂ c. f(x) = 2x² - 4x² d. f(x) = 2x²-3x² - 6x₁x₂(x₂-x₁ - 1) e. f(x) = (x₂-x²)² - x²

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