Discuss whether the gradient of the following mappings is Lipschitz continuous or not: a) fi : R - R, fi(2) := tri+21 - 313. b) f2 : R' - R, f2(x) := In(exp(x1) + exp(x2)). Report the corresponding Lipschitz constant L in case Vfi, i = 1, 2, is Lipschitz continuous. Are any of the mappings Vfi or Vf2 contractive