6. (24 points) (a) (12 points) Find the value of L that makes the function f (2) = x2 - Lx ifx 1 continuous at all real numbers. You must justify your answer to receive full credit.(b) (12 points) Use the definition of derivative to show that f(x) is NOT differ- entiable at 1. . Use your answer to part (a) as the value of L in the definition of f(x). If you were unable to answer part (a), use L = 2 for the value of L. . Hint: Consider left- and right-hand limits