Please answer the following questions- ignore the hint in question 2.

1. (6 points} Determine whether the following statements are True or False. Explain your reasoning. If true, explain your reasoning. If false, give a counter example. (a) True False : : If f is continuous at a: = 2 then f has a derivative at a" = 2. (b) True False: : The derivative ofyr = mm" is y' = \"'2' sin.rlnm. 2. (4 points) If two functions x] and mix] are not diiferentiable at a point a: = c, it is possible for their product h-{m} = x) ~ 9(a) to be differentiable at a: = c. Give an example of such functions. (Hint: Think about the example we sawsr in class)