Please help with the following questions

2. Carefully justify all your answers. (a) Can you give an example of a function y = /(z) that is differentiable everywhere in its domain but not continuous everywhere in its domain? (2 marks (b) Does the following equality hold? de = -3 8 (4 marks) (c) Does #|x* + x] = (413 + 1)? [4 marks]