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

Q: Find the derivative of f(w)=w78+2w.

A: dxndx= nxn-1---- Formula f(w) = w78 + 2w f'(w) = d(w78+2w)dw = 78 w77 + 2

Q: Calculate the derivative of the function: -3 x5 – 17 f(x) = x + 17 Answer: f'(x) = Check

A:

Q: У y = |1 - х - 1+х

A:

Q: Find the second, third, and fourth order derivatives of: y= f(x )= ax7 + bx3 + c y= f(x) = 3x/1-x…

A: It is simple derivative

Q: R(w) = w? 8w + 20

A: Derivatives are one of  the fundamental tools of the calculus. In mathematics, derivatives are the…