Please solve and explain this question in details. 5d and 6c but i don't know why.

5. Consider the graph of the derivative of the function y = f(;1;) given below. 14 = f'() Which of the following statements is false? (a) The original function f is differentiable on the open interval (0,4). (b) The original function f is continuous on the open interval (0,4). (c) The derivative f' is continuous on the open interval (0,4). (d) The second derivative f\"(;v) exists at LL' 2 2. (e) The slope of the tangent line to the graph of y = f(.1;) at :1; = 2 is equal to 3. 6. Let C be a constant. What value of the constant C will make the limit L : \"131% (l g 1 .L(.L21)) exist? (a) 0 =3 (b) C : 2 (c) C : 3 (d) C = 6 (e) There is no value of C that will make the limit L exist