please, provide full explanation

Let f(x) = $ 1| Axe - b/13 + 3 1/x/13 where A E R10x5, x E R5 and b E R10. (a) Prove Vf(x) is Lipschitz continuous with Lipschitz constant L = ||A" All + 1. (b) Write down the kth iteration of the gradient descent method with stepsize being -. (c) Write down the kth iteration of Newton's method